TSTP Solution File: SWC416+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC416+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:40:23 EDT 2023
% Result : Theorem 39.79s 5.55s
% Output : CNFRefutation 39.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC416+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:38:43 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 39.79/5.55 % Refutation found
% 39.79/5.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 39.79/5.55 % SZS output start CNFRefutation for theBenchmark
% 39.79/5.55 fof(f1,axiom,(
% 39.79/5.55 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f2,axiom,(
% 39.79/5.55 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f15,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f16,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f17,axiom,(
% 39.79/5.55 ssList(nil) ),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f19,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f21,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f22,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> ( nil != U=> ssItem(hd(U)) ) ) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f23,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> hd(cons(V,U)) = V ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f26,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f28,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f30,axiom,(
% 39.79/5.55 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> ( ( leq(U,V)& leq(V,W) )=> leq(U,W) ) ) )) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f31,axiom,(
% 39.79/5.55 (! [U] :( ssItem(U)=> leq(U,U) ) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f79,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(W,V) = app(U,V)=> W = U ) ) )) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f80,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( app(V,W) = app(V,U)=> W = U ) ) )) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f81,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) = app(cons(V,nil),U) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f83,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f84,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f85,axiom,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil != U=> hd(app(U,V)) = hd(U) ) ) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f88,axiom,(
% 39.79/5.55 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> ( ( geq(U,V)& geq(V,W) )=> geq(U,W) ) ) )) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f89,axiom,(
% 39.79/5.55 (! [U] :( ssItem(U)=> geq(U,U) ) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f90,axiom,(
% 39.79/5.55 (! [U] :( ssItem(U)=> ~ lt(U,U) ) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f96,conjecture,(
% 39.79/5.55 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& V = Y& (? [Z] :( ssList(Z)& app(Z,U) = Y& (? [X1] :( ssItem(X1)& cons(X1,nil) = Z& hd(V) = X1& neq(nil,V) ) )) )))| (! [X2] :( ssItem(X2)=> app(cons(X2,nil),W) != X ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 39.79/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.79/5.55 fof(f97,negated_conjecture,(
% 39.79/5.55 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& V = Y& (? [Z] :( ssList(Z)& app(Z,U) = Y& (? [X1] :( ssItem(X1)& cons(X1,nil) = Z& hd(V) = X1& neq(nil,V) ) )) )))| (! [X2] :( ssItem(X2)=> app(cons(X2,nil),W) != X ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 39.79/5.55 inference(negated_conjecture,[status(cth)],[f96])).
% 39.79/5.55 fof(f98,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(neq(U,V)<=>~U=V))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 39.79/5.55 fof(f99,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 39.79/5.55 inference(NNF_transformation,[status(esa)],[f98])).
% 39.79/5.55 fof(f100,plain,(
% 39.79/5.55 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~neq(X0,X1)|~X0=X1)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f99])).
% 39.79/5.55 fof(f101,plain,(
% 39.79/5.55 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X0,X1)|X0=X1)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f99])).
% 39.79/5.55 fof(f102,plain,(
% 39.79/5.55 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 39.79/5.55 inference(skolemization,[status(esa)],[f2])).
% 39.79/5.55 fof(f103,plain,(
% 39.79/5.55 ssItem(sk0_0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f102])).
% 39.79/5.55 fof(f104,plain,(
% 39.79/5.55 ssItem(sk0_1)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f102])).
% 39.79/5.55 fof(f217,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 39.79/5.55 fof(f218,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 39.79/5.55 inference(NNF_transformation,[status(esa)],[f217])).
% 39.79/5.55 fof(f219,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f218])).
% 39.79/5.55 fof(f220,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f218])).
% 39.79/5.55 fof(f221,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 39.79/5.55 fof(f222,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f221])).
% 39.79/5.55 fof(f223,plain,(
% 39.79/5.55 ssList(nil)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f17])).
% 39.79/5.55 fof(f226,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 39.79/5.55 fof(f227,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f226])).
% 39.79/5.55 fof(f234,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 39.79/5.55 fof(f235,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f234])).
% 39.79/5.55 fof(f236,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(nil=U|ssItem(hd(U))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 39.79/5.55 fof(f237,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|ssItem(hd(X0)))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f236])).
% 39.79/5.55 fof(f238,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|hd(cons(V,U))=V)))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 39.79/5.55 fof(f239,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|hd(cons(X1,X0))=X1)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f238])).
% 39.79/5.55 fof(f244,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 39.79/5.55 fof(f245,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f244])).
% 39.79/5.55 fof(f248,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|app(nil,U)=U)),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 39.79/5.55 fof(f249,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f248])).
% 39.79/5.55 fof(f252,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|((~leq(U,V)|~leq(V,W))|leq(U,W)))))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 39.79/5.55 fof(f253,plain,(
% 39.79/5.55 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssItem(X2)|~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f252])).
% 39.79/5.55 fof(f254,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|leq(U,U))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 39.79/5.55 fof(f255,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f254])).
% 39.79/5.55 fof(f375,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(W,V)=app(U,V)|W=U))))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f79])).
% 39.79/5.55 fof(f376,plain,(
% 39.79/5.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X2,X1)=app(X0,X1)|X2=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f375])).
% 39.79/5.55 fof(f377,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(~app(V,W)=app(V,U)|W=U))))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 39.79/5.55 fof(f378,plain,(
% 39.79/5.55 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(X1,X2)=app(X1,X0)|X2=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f377])).
% 39.79/5.55 fof(f379,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|cons(V,U)=app(cons(V,nil),U))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 39.79/5.55 fof(f380,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|cons(X1,X0)=app(cons(X1,nil),X0))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f379])).
% 39.79/5.55 fof(f383,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 39.79/5.55 fof(f384,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 39.79/5.55 inference(NNF_transformation,[status(esa)],[f383])).
% 39.79/5.55 fof(f386,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f384])).
% 39.79/5.55 fof(f387,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=app(X0,X1)|~nil=X1|~nil=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f384])).
% 39.79/5.55 fof(f388,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|app(U,nil)=U)),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 39.79/5.55 fof(f389,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f388])).
% 39.79/5.55 fof(f390,plain,(
% 39.79/5.55 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=U|hd(app(U,V))=hd(U)))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 39.79/5.55 fof(f391,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X1)|nil=X0|hd(app(X0,X1))=hd(X0))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f390])).
% 39.79/5.55 fof(f396,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|((~geq(U,V)|~geq(V,W))|geq(U,W)))))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 39.79/5.55 fof(f397,plain,(
% 39.79/5.55 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssItem(X2)|~geq(X0,X1)|~geq(X1,X2)|geq(X0,X2))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f396])).
% 39.79/5.55 fof(f398,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|geq(U,U))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 39.79/5.55 fof(f399,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|geq(X0,X0))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f398])).
% 39.79/5.55 fof(f400,plain,(
% 39.79/5.55 ![U]: (~ssItem(U)|~lt(U,U))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 39.79/5.55 fof(f401,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|~lt(X0,X0))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f400])).
% 39.79/5.55 fof(f415,plain,(
% 39.79/5.55 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1)|~neq(nil,V))))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X)))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 39.79/5.55 fof(f416,plain,(
% 39.79/5.55 ![U,V,W,X]: (pd0_0(X,W,V,U)=>((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1)|~neq(nil,V))))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X))))),
% 39.79/5.55 introduced(predicate_definition,[f415])).
% 39.79/5.55 fof(f417,plain,(
% 39.79/5.55 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(pd0_0(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 39.79/5.55 inference(formula_renaming,[status(thm)],[f415,f416])).
% 39.79/5.55 fof(f418,plain,(
% 39.79/5.55 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((sk0_48=sk0_50&sk0_47=sk0_49)&(pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|(neq(sk0_48,nil)&~neq(sk0_50,nil))))))))),
% 39.79/5.55 inference(skolemization,[status(esa)],[f417])).
% 39.79/5.55 fof(f419,plain,(
% 39.79/5.55 ssList(sk0_47)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f418])).
% 39.79/5.55 fof(f420,plain,(
% 39.79/5.55 ssList(sk0_48)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f418])).
% 39.79/5.55 fof(f423,plain,(
% 39.79/5.55 sk0_48=sk0_50),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f418])).
% 39.79/5.55 fof(f424,plain,(
% 39.79/5.55 sk0_47=sk0_49),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f418])).
% 39.79/5.55 fof(f425,plain,(
% 39.79/5.55 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|neq(sk0_48,nil)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f418])).
% 39.79/5.55 fof(f426,plain,(
% 39.79/5.55 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~neq(sk0_50,nil)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f418])).
% 39.79/5.55 fof(f427,plain,(
% 39.79/5.55 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|(![X1]: (((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1)|~neq(nil,V))))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X))))),
% 39.79/5.55 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 39.79/5.55 fof(f428,plain,(
% 39.79/5.55 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|((![X1]: ((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1))|~neq(nil,V)))))))&(?[X2]: (ssItem(X2)&app(cons(X2,nil),W)=X))))),
% 39.79/5.55 inference(miniscoping,[status(esa)],[f427])).
% 39.79/5.55 fof(f429,plain,(
% 39.79/5.55 ![U,V,W,X]: (~pd0_0(X,W,V,U)|((neq(V,nil)&(![Y]: ((~ssList(Y)|~V=Y)|(![Z]: ((~ssList(Z)|~app(Z,U)=Y)|((![X1]: ((~ssItem(X1)|~cons(X1,nil)=Z)|~hd(V)=X1))|~neq(nil,V)))))))&(ssItem(sk0_51(X,W,V,U))&app(cons(sk0_51(X,W,V,U),nil),W)=X)))),
% 39.79/5.55 inference(skolemization,[status(esa)],[f428])).
% 39.79/5.55 fof(f430,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|neq(X2,nil))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f429])).
% 39.79/5.55 fof(f431,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3)|~ssList(X4)|~X2=X4|~ssList(X5)|~app(X5,X3)=X4|~ssItem(X6)|~cons(X6,nil)=X5|~hd(X2)=X6|~neq(nil,X2))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f429])).
% 39.79/5.55 fof(f432,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|ssItem(sk0_51(X0,X1,X2,X3)))),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f429])).
% 39.79/5.55 fof(f433,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3)|app(cons(sk0_51(X0,X1,X2,X3),nil),X1)=X0)),
% 39.79/5.55 inference(cnf_transformation,[status(esa)],[f429])).
% 39.79/5.55 fof(f434,plain,(
% 39.79/5.55 spl0_0 <=> pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f435,plain,(
% 39.79/5.55 pd0_0(sk0_50,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 39.79/5.55 inference(component_clause,[status(thm)],[f434])).
% 39.79/5.55 fof(f437,plain,(
% 39.79/5.55 spl0_1 <=> neq(sk0_48,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f438,plain,(
% 39.79/5.55 neq(sk0_48,nil)|~spl0_1),
% 39.79/5.55 inference(component_clause,[status(thm)],[f437])).
% 39.79/5.55 fof(f440,plain,(
% 39.79/5.55 spl0_0|spl0_1),
% 39.79/5.55 inference(split_clause,[status(thm)],[f425,f434,f437])).
% 39.79/5.55 fof(f441,plain,(
% 39.79/5.55 spl0_2 <=> neq(sk0_50,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f442,plain,(
% 39.79/5.55 neq(sk0_50,nil)|~spl0_2),
% 39.79/5.55 inference(component_clause,[status(thm)],[f441])).
% 39.79/5.55 fof(f443,plain,(
% 39.79/5.55 ~neq(sk0_50,nil)|spl0_2),
% 39.79/5.55 inference(component_clause,[status(thm)],[f441])).
% 39.79/5.55 fof(f444,plain,(
% 39.79/5.55 spl0_0|~spl0_2),
% 39.79/5.55 inference(split_clause,[status(thm)],[f426,f434,f441])).
% 39.79/5.55 fof(f445,plain,(
% 39.79/5.55 ![X1]: (~ssItem(X1)|~ssItem(X1)|~neq(X1,X1))),
% 39.79/5.55 inference(destructive_equality_resolution,[status(esa)],[f100])).
% 39.79/5.55 fof(f446,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|~neq(X0,X0))),
% 39.79/5.55 inference(duplicate_literals_removal,[status(esa)],[f445])).
% 39.79/5.55 fof(f449,plain,(
% 39.79/5.55 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 39.79/5.55 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 39.79/5.55 fof(f450,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 39.79/5.55 inference(duplicate_literals_removal,[status(esa)],[f449])).
% 39.79/5.55 fof(f459,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~ssList(X4)|~app(X4,X3)=X2|~ssItem(X5)|~cons(X5,nil)=X4|~hd(X2)=X5|~neq(nil,X2))),
% 39.79/5.55 inference(destructive_equality_resolution,[status(esa)],[f431])).
% 39.79/5.55 fof(f460,plain,(
% 39.79/5.55 ~neq(sk0_48,nil)|spl0_2),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f423,f443])).
% 39.79/5.55 fof(f461,plain,(
% 39.79/5.55 pd0_0(sk0_48,sk0_49,sk0_48,sk0_47)|~spl0_0),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f423,f435])).
% 39.79/5.55 fof(f462,plain,(
% 39.79/5.55 pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f424,f461])).
% 39.79/5.55 fof(f468,plain,(
% 39.79/5.55 ~neq(nil,nil)),
% 39.79/5.55 inference(resolution,[status(thm)],[f450,f223])).
% 39.79/5.55 fof(f469,plain,(
% 39.79/5.55 ~neq(sk0_48,sk0_48)),
% 39.79/5.55 inference(resolution,[status(thm)],[f450,f420])).
% 39.79/5.55 fof(f470,plain,(
% 39.79/5.55 ~neq(sk0_47,sk0_47)),
% 39.79/5.55 inference(resolution,[status(thm)],[f450,f419])).
% 39.79/5.55 fof(f472,plain,(
% 39.79/5.55 app(nil,nil)=nil),
% 39.79/5.55 inference(resolution,[status(thm)],[f249,f223])).
% 39.79/5.55 fof(f473,plain,(
% 39.79/5.55 app(nil,sk0_48)=sk0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f249,f420])).
% 39.79/5.55 fof(f474,plain,(
% 39.79/5.55 app(nil,sk0_47)=sk0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f249,f419])).
% 39.79/5.55 fof(f475,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 39.79/5.55 inference(resolution,[status(thm)],[f220,f223])).
% 39.79/5.55 fof(f476,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|neq(X0,sk0_48)|X0=sk0_48)),
% 39.79/5.55 inference(resolution,[status(thm)],[f220,f420])).
% 39.79/5.55 fof(f477,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|neq(X0,sk0_47)|X0=sk0_47)),
% 39.79/5.55 inference(resolution,[status(thm)],[f220,f419])).
% 39.79/5.55 fof(f478,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|neq(X0,sk0_0)|X0=sk0_0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f103,f101])).
% 39.79/5.55 fof(f479,plain,(
% 39.79/5.55 ~neq(sk0_0,sk0_0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f103,f446])).
% 39.79/5.55 fof(f480,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|neq(X0,sk0_1)|X0=sk0_1)),
% 39.79/5.55 inference(resolution,[status(thm)],[f104,f101])).
% 39.79/5.55 fof(f481,plain,(
% 39.79/5.55 ~neq(sk0_1,sk0_1)),
% 39.79/5.55 inference(resolution,[status(thm)],[f104,f446])).
% 39.79/5.55 fof(f482,plain,(
% 39.79/5.55 leq(sk0_1,sk0_1)),
% 39.79/5.55 inference(resolution,[status(thm)],[f255,f104])).
% 39.79/5.55 fof(f483,plain,(
% 39.79/5.55 leq(sk0_0,sk0_0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f255,f103])).
% 39.79/5.55 fof(f497,plain,(
% 39.79/5.55 ![X0,X1,X2]: (~pd0_0(X0,X1,sk0_48,X2)|spl0_2)),
% 39.79/5.55 inference(resolution,[status(thm)],[f460,f430])).
% 39.79/5.55 fof(f498,plain,(
% 39.79/5.55 $false|spl0_2|~spl0_0),
% 39.79/5.55 inference(backward_subsumption_resolution,[status(thm)],[f462,f497])).
% 39.79/5.55 fof(f499,plain,(
% 39.79/5.55 spl0_2|~spl0_0),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f498])).
% 39.79/5.55 fof(f500,plain,(
% 39.79/5.55 $false|spl0_2|~spl0_1),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f438,f460])).
% 39.79/5.55 fof(f501,plain,(
% 39.79/5.55 spl0_2|~spl0_1),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f500])).
% 39.79/5.55 fof(f502,plain,(
% 39.79/5.55 neq(sk0_48,nil)|~spl0_2),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f423,f442])).
% 39.79/5.55 fof(f505,plain,(
% 39.79/5.55 spl0_3 <=> neq(nil,sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f506,plain,(
% 39.79/5.55 neq(nil,sk0_48)|~spl0_3),
% 39.79/5.55 inference(component_clause,[status(thm)],[f505])).
% 39.79/5.55 fof(f508,plain,(
% 39.79/5.55 spl0_4 <=> nil=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f509,plain,(
% 39.79/5.55 nil=sk0_48|~spl0_4),
% 39.79/5.55 inference(component_clause,[status(thm)],[f508])).
% 39.79/5.55 fof(f511,plain,(
% 39.79/5.55 neq(nil,sk0_48)|nil=sk0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f476,f223])).
% 39.79/5.55 fof(f512,plain,(
% 39.79/5.55 spl0_3|spl0_4),
% 39.79/5.55 inference(split_clause,[status(thm)],[f511,f505,f508])).
% 39.79/5.55 fof(f513,plain,(
% 39.79/5.55 spl0_5 <=> neq(sk0_48,sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f514,plain,(
% 39.79/5.55 neq(sk0_48,sk0_48)|~spl0_5),
% 39.79/5.55 inference(component_clause,[status(thm)],[f513])).
% 39.79/5.55 fof(f516,plain,(
% 39.79/5.55 spl0_6 <=> sk0_48=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f519,plain,(
% 39.79/5.55 neq(sk0_48,sk0_48)|sk0_48=sk0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f476,f420])).
% 39.79/5.55 fof(f520,plain,(
% 39.79/5.55 spl0_5|spl0_6),
% 39.79/5.55 inference(split_clause,[status(thm)],[f519,f513,f516])).
% 39.79/5.55 fof(f521,plain,(
% 39.79/5.55 spl0_7 <=> neq(sk0_47,sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f522,plain,(
% 39.79/5.55 neq(sk0_47,sk0_48)|~spl0_7),
% 39.79/5.55 inference(component_clause,[status(thm)],[f521])).
% 39.79/5.55 fof(f524,plain,(
% 39.79/5.55 spl0_8 <=> sk0_47=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f525,plain,(
% 39.79/5.55 sk0_47=sk0_48|~spl0_8),
% 39.79/5.55 inference(component_clause,[status(thm)],[f524])).
% 39.79/5.55 fof(f526,plain,(
% 39.79/5.55 ~sk0_47=sk0_48|spl0_8),
% 39.79/5.55 inference(component_clause,[status(thm)],[f524])).
% 39.79/5.55 fof(f527,plain,(
% 39.79/5.55 neq(sk0_47,sk0_48)|sk0_47=sk0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f476,f419])).
% 39.79/5.55 fof(f528,plain,(
% 39.79/5.55 spl0_7|spl0_8),
% 39.79/5.55 inference(split_clause,[status(thm)],[f527,f521,f524])).
% 39.79/5.55 fof(f529,plain,(
% 39.79/5.55 $false|~spl0_5),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f514,f469])).
% 39.79/5.55 fof(f530,plain,(
% 39.79/5.55 ~spl0_5),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f529])).
% 39.79/5.55 fof(f533,plain,(
% 39.79/5.55 spl0_9 <=> neq(nil,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f534,plain,(
% 39.79/5.55 neq(nil,sk0_47)|~spl0_9),
% 39.79/5.55 inference(component_clause,[status(thm)],[f533])).
% 39.79/5.55 fof(f536,plain,(
% 39.79/5.55 spl0_10 <=> nil=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f537,plain,(
% 39.79/5.55 nil=sk0_47|~spl0_10),
% 39.79/5.55 inference(component_clause,[status(thm)],[f536])).
% 39.79/5.55 fof(f538,plain,(
% 39.79/5.55 ~nil=sk0_47|spl0_10),
% 39.79/5.55 inference(component_clause,[status(thm)],[f536])).
% 39.79/5.55 fof(f539,plain,(
% 39.79/5.55 neq(nil,sk0_47)|nil=sk0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f477,f223])).
% 39.79/5.55 fof(f540,plain,(
% 39.79/5.55 spl0_9|spl0_10),
% 39.79/5.55 inference(split_clause,[status(thm)],[f539,f533,f536])).
% 39.79/5.55 fof(f541,plain,(
% 39.79/5.55 spl0_11 <=> neq(sk0_48,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f542,plain,(
% 39.79/5.55 neq(sk0_48,sk0_47)|~spl0_11),
% 39.79/5.55 inference(component_clause,[status(thm)],[f541])).
% 39.79/5.55 fof(f544,plain,(
% 39.79/5.55 neq(sk0_48,sk0_47)|sk0_48=sk0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f477,f420])).
% 39.79/5.55 fof(f545,plain,(
% 39.79/5.55 spl0_11|spl0_8),
% 39.79/5.55 inference(split_clause,[status(thm)],[f544,f541,f524])).
% 39.79/5.55 fof(f546,plain,(
% 39.79/5.55 spl0_12 <=> neq(sk0_47,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f547,plain,(
% 39.79/5.55 neq(sk0_47,sk0_47)|~spl0_12),
% 39.79/5.55 inference(component_clause,[status(thm)],[f546])).
% 39.79/5.55 fof(f549,plain,(
% 39.79/5.55 spl0_13 <=> sk0_47=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f552,plain,(
% 39.79/5.55 neq(sk0_47,sk0_47)|sk0_47=sk0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f477,f419])).
% 39.79/5.55 fof(f553,plain,(
% 39.79/5.55 spl0_12|spl0_13),
% 39.79/5.55 inference(split_clause,[status(thm)],[f552,f546,f549])).
% 39.79/5.55 fof(f554,plain,(
% 39.79/5.55 $false|~spl0_12),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f547,f470])).
% 39.79/5.55 fof(f555,plain,(
% 39.79/5.55 ~spl0_12),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f554])).
% 39.79/5.55 fof(f558,plain,(
% 39.79/5.55 pd0_0(sk0_48,sk0_47,sk0_47,sk0_47)|~spl0_8|~spl0_0),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f525,f462])).
% 39.79/5.55 fof(f559,plain,(
% 39.79/5.55 pd0_0(sk0_47,sk0_47,sk0_47,sk0_47)|~spl0_8|~spl0_0),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f525,f558])).
% 39.79/5.55 fof(f578,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3)|~ssItem(X4)|neq(X4,sk0_51(X0,X1,X2,X3))|X4=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(resolution,[status(thm)],[f432,f101])).
% 39.79/5.55 fof(f580,plain,(
% 39.79/5.55 app(cons(sk0_51(sk0_47,sk0_47,sk0_47,sk0_47),nil),sk0_47)=sk0_47|~spl0_8|~spl0_0),
% 39.79/5.55 inference(resolution,[status(thm)],[f433,f559])).
% 39.79/5.55 fof(f587,plain,(
% 39.79/5.55 app(sk0_47,nil)=sk0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f389,f419])).
% 39.79/5.55 fof(f599,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4,X5,X6]: (~ssList(X0)|~ssItem(X1)|~pd0_0(X2,X3,X4,X5)|~ssList(X4)|~app(cons(X1,X0),X5)=X4|~ssItem(X6)|~cons(X6,nil)=cons(X1,X0)|~hd(X4)=X6|~neq(nil,X4))),
% 39.79/5.55 inference(resolution,[status(thm)],[f222,f459])).
% 39.79/5.55 fof(f600,plain,(
% 39.79/5.55 spl0_14 <=> ssList(nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f602,plain,(
% 39.79/5.55 ~ssList(nil)|spl0_14),
% 39.79/5.55 inference(component_clause,[status(thm)],[f600])).
% 39.79/5.55 fof(f603,plain,(
% 39.79/5.55 spl0_15 <=> ~ssItem(X0)|~pd0_0(X1,X2,X3,X4)|~ssList(X3)|~app(cons(X0,nil),X4)=X3|~ssItem(X0)|~hd(X3)=X0|~neq(nil,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f604,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssItem(X0)|~pd0_0(X1,X2,X3,X4)|~ssList(X3)|~app(cons(X0,nil),X4)=X3|~ssItem(X0)|~hd(X3)=X0|~neq(nil,X3)|~spl0_15)),
% 39.79/5.55 inference(component_clause,[status(thm)],[f603])).
% 39.79/5.55 fof(f606,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(nil)|~ssItem(X0)|~pd0_0(X1,X2,X3,X4)|~ssList(X3)|~app(cons(X0,nil),X4)=X3|~ssItem(X0)|~hd(X3)=X0|~neq(nil,X3))),
% 39.79/5.55 inference(equality_resolution,[status(esa)],[f599])).
% 39.79/5.55 fof(f607,plain,(
% 39.79/5.55 ~spl0_14|spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f606,f600,f603])).
% 39.79/5.55 fof(f608,plain,(
% 39.79/5.55 $false|spl0_14),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f602,f223])).
% 39.79/5.55 fof(f609,plain,(
% 39.79/5.55 spl0_14),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f608])).
% 39.79/5.55 fof(f610,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssItem(X0)|~pd0_0(X1,X2,X3,X4)|~ssList(X3)|~app(cons(X0,nil),X4)=X3|~hd(X3)=X0|~neq(nil,X3)|~spl0_15)),
% 39.79/5.55 inference(duplicate_literals_removal,[status(esa)],[f604])).
% 39.79/5.55 fof(f617,plain,(
% 39.79/5.55 spl0_17 <=> neq(nil,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f618,plain,(
% 39.79/5.55 neq(nil,nil)|~spl0_17),
% 39.79/5.55 inference(component_clause,[status(thm)],[f617])).
% 39.79/5.55 fof(f622,plain,(
% 39.79/5.55 spl0_18 <=> ~ssItem(X0)|~pd0_0(X1,X2,sk0_47,X3)|~app(cons(X0,nil),X3)=sk0_47|~hd(sk0_47)=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f623,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,sk0_47,X3)|~app(cons(X0,nil),X3)=sk0_47|~hd(sk0_47)=X0|~spl0_18)),
% 39.79/5.55 inference(component_clause,[status(thm)],[f622])).
% 39.79/5.55 fof(f625,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,sk0_47,X3)|~app(cons(X0,nil),X3)=sk0_47|~hd(sk0_47)=X0|~neq(nil,sk0_47)|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f610,f419])).
% 39.79/5.55 fof(f626,plain,(
% 39.79/5.55 spl0_18|~spl0_9|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f625,f622,f533,f603])).
% 39.79/5.55 fof(f627,plain,(
% 39.79/5.55 spl0_19 <=> ssList(sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f629,plain,(
% 39.79/5.55 ~ssList(sk0_47)|spl0_19),
% 39.79/5.55 inference(component_clause,[status(thm)],[f627])).
% 39.79/5.55 fof(f637,plain,(
% 39.79/5.55 neq(nil,sk0_47)|~spl0_8|~spl0_3),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f525,f506])).
% 39.79/5.55 fof(f638,plain,(
% 39.79/5.55 neq(nil,nil)|~spl0_10|~spl0_8|~spl0_3),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f537,f637])).
% 39.79/5.55 fof(f639,plain,(
% 39.79/5.55 $false|~spl0_10|~spl0_8|~spl0_3),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f638,f468])).
% 39.79/5.55 fof(f640,plain,(
% 39.79/5.55 ~spl0_10|~spl0_8|~spl0_3),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f639])).
% 39.79/5.55 fof(f641,plain,(
% 39.79/5.55 sk0_47=nil|~spl0_4|~spl0_8),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f509,f525])).
% 39.79/5.55 fof(f656,plain,(
% 39.79/5.55 ~nil=nil|~spl0_4|~spl0_8|spl0_10),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f641,f538])).
% 39.79/5.55 fof(f657,plain,(
% 39.79/5.55 $false|~spl0_4|~spl0_8|spl0_10),
% 39.79/5.55 inference(trivial_equality_resolution,[status(esa)],[f656])).
% 39.79/5.55 fof(f658,plain,(
% 39.79/5.55 ~spl0_4|~spl0_8|spl0_10),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f657])).
% 39.79/5.55 fof(f715,plain,(
% 39.79/5.55 spl0_21 <=> ~ssItem(X0)|~pd0_0(X1,X2,sk0_48,X3)|~app(cons(X0,nil),X3)=sk0_48|~hd(sk0_48)=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f716,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,sk0_48,X3)|~app(cons(X0,nil),X3)=sk0_48|~hd(sk0_48)=X0|~spl0_21)),
% 39.79/5.55 inference(component_clause,[status(thm)],[f715])).
% 39.79/5.55 fof(f718,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,sk0_48,X3)|~app(cons(X0,nil),X3)=sk0_48|~hd(sk0_48)=X0|~neq(nil,sk0_48)|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f420,f610])).
% 39.79/5.55 fof(f719,plain,(
% 39.79/5.55 spl0_21|~spl0_3|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f718,f715,f505,f603])).
% 39.79/5.55 fof(f721,plain,(
% 39.79/5.55 app(sk0_48,nil)=sk0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f420,f389])).
% 39.79/5.55 fof(f727,plain,(
% 39.79/5.55 neq(nil,sk0_48)|~spl0_10|~spl0_7),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f537,f522])).
% 39.79/5.55 fof(f728,plain,(
% 39.79/5.55 spl0_3|~spl0_10|~spl0_7),
% 39.79/5.55 inference(split_clause,[status(thm)],[f727,f505,f536,f521])).
% 39.79/5.55 fof(f729,plain,(
% 39.79/5.55 neq(nil,sk0_47)|~spl0_4|~spl0_11),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f509,f542])).
% 39.79/5.55 fof(f730,plain,(
% 39.79/5.55 neq(nil,nil)|~spl0_10|~spl0_4|~spl0_11),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f537,f729])).
% 39.79/5.55 fof(f731,plain,(
% 39.79/5.55 $false|~spl0_10|~spl0_4|~spl0_11),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f730,f468])).
% 39.79/5.55 fof(f732,plain,(
% 39.79/5.55 ~spl0_10|~spl0_4|~spl0_11),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f731])).
% 39.79/5.55 fof(f762,plain,(
% 39.79/5.55 neq(nil,nil)|~spl0_4|~spl0_2),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f509,f502])).
% 39.79/5.55 fof(f763,plain,(
% 39.79/5.55 $false|~spl0_4|~spl0_2),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f762,f468])).
% 39.79/5.55 fof(f764,plain,(
% 39.79/5.55 ~spl0_4|~spl0_2),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f763])).
% 39.79/5.55 fof(f808,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(X0)|nil=X0|~pd0_0(X1,X2,X3,X4)|neq(hd(X0),sk0_51(X1,X2,X3,X4))|hd(X0)=sk0_51(X1,X2,X3,X4))),
% 39.79/5.55 inference(resolution,[status(thm)],[f237,f578])).
% 39.79/5.55 fof(f809,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|leq(hd(X0),hd(X0)))),
% 39.79/5.55 inference(resolution,[status(thm)],[f237,f255])).
% 39.79/5.55 fof(f811,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|~neq(hd(X0),hd(X0)))),
% 39.79/5.55 inference(resolution,[status(thm)],[f237,f446])).
% 39.79/5.55 fof(f812,plain,(
% 39.79/5.55 spl0_22 <=> neq(sk0_47,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f815,plain,(
% 39.79/5.55 neq(sk0_47,nil)|sk0_47=nil),
% 39.79/5.55 inference(resolution,[status(thm)],[f475,f419])).
% 39.79/5.55 fof(f816,plain,(
% 39.79/5.55 spl0_22|spl0_10),
% 39.79/5.55 inference(split_clause,[status(thm)],[f815,f812,f536])).
% 39.79/5.55 fof(f821,plain,(
% 39.79/5.55 spl0_23 <=> nil=nil),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f826,plain,(
% 39.79/5.55 neq(sk0_48,nil)|sk0_48=nil),
% 39.79/5.55 inference(resolution,[status(thm)],[f420,f475])).
% 39.79/5.55 fof(f827,plain,(
% 39.79/5.55 spl0_1|spl0_4),
% 39.79/5.55 inference(split_clause,[status(thm)],[f826,f437,f508])).
% 39.79/5.55 fof(f839,plain,(
% 39.79/5.55 spl0_24 <=> ~ssList(X0)|~ssList(X0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f840,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_24)),
% 39.79/5.55 inference(component_clause,[status(thm)],[f839])).
% 39.79/5.55 fof(f842,plain,(
% 39.79/5.55 spl0_25 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f845,plain,(
% 39.79/5.55 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 39.79/5.55 inference(equality_resolution,[status(esa)],[f227])).
% 39.79/5.55 fof(f846,plain,(
% 39.79/5.55 spl0_24|spl0_25),
% 39.79/5.55 inference(split_clause,[status(thm)],[f845,f839,f842])).
% 39.79/5.55 fof(f847,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|~spl0_24)),
% 39.79/5.55 inference(duplicate_literals_removal,[status(esa)],[f840])).
% 39.79/5.55 fof(f848,plain,(
% 39.79/5.55 $false|~spl0_24),
% 39.79/5.55 inference(backward_subsumption_resolution,[status(thm)],[f420,f847])).
% 39.79/5.55 fof(f849,plain,(
% 39.79/5.55 ~spl0_24),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f848])).
% 39.79/5.55 fof(f853,plain,(
% 39.79/5.55 geq(sk0_1,sk0_1)),
% 39.79/5.55 inference(resolution,[status(thm)],[f399,f104])).
% 39.79/5.55 fof(f854,plain,(
% 39.79/5.55 geq(sk0_0,sk0_0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f399,f103])).
% 39.79/5.55 fof(f868,plain,(
% 39.79/5.55 spl0_26 <=> ~ssItem(X0)|~leq(X0,sk0_1)|leq(X0,sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f871,plain,(
% 39.79/5.55 spl0_27 <=> leq(sk0_1,sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f873,plain,(
% 39.79/5.55 ~leq(sk0_1,sk0_1)|spl0_27),
% 39.79/5.55 inference(component_clause,[status(thm)],[f871])).
% 39.79/5.55 fof(f874,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|~leq(X0,sk0_1)|~leq(sk0_1,sk0_1)|leq(X0,sk0_1))),
% 39.79/5.55 inference(resolution,[status(thm)],[f253,f104])).
% 39.79/5.55 fof(f875,plain,(
% 39.79/5.55 spl0_26|~spl0_27),
% 39.79/5.55 inference(split_clause,[status(thm)],[f874,f868,f871])).
% 39.79/5.55 fof(f877,plain,(
% 39.79/5.55 spl0_28 <=> ~ssItem(X0)|~leq(X0,sk0_0)|leq(X0,sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f880,plain,(
% 39.79/5.55 spl0_29 <=> leq(sk0_0,sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f882,plain,(
% 39.79/5.55 ~leq(sk0_0,sk0_0)|spl0_29),
% 39.79/5.55 inference(component_clause,[status(thm)],[f880])).
% 39.79/5.55 fof(f883,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|~leq(X0,sk0_0)|~leq(sk0_0,sk0_0)|leq(X0,sk0_0))),
% 39.79/5.55 inference(resolution,[status(thm)],[f253,f103])).
% 39.79/5.55 fof(f884,plain,(
% 39.79/5.55 spl0_28|~spl0_29),
% 39.79/5.55 inference(split_clause,[status(thm)],[f883,f877,f880])).
% 39.79/5.55 fof(f889,plain,(
% 39.79/5.55 $false|spl0_29),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f882,f483])).
% 39.79/5.55 fof(f890,plain,(
% 39.79/5.55 spl0_29),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f889])).
% 39.79/5.55 fof(f891,plain,(
% 39.79/5.55 $false|spl0_27),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f873,f482])).
% 39.79/5.55 fof(f892,plain,(
% 39.79/5.55 spl0_27),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f891])).
% 39.79/5.55 fof(f896,plain,(
% 39.79/5.55 app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_47)=sk0_48|~spl0_0),
% 39.79/5.55 inference(resolution,[status(thm)],[f462,f433])).
% 39.79/5.55 fof(f897,plain,(
% 39.79/5.55 spl0_30 <=> ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f898,plain,(
% 39.79/5.55 ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~spl0_30),
% 39.79/5.55 inference(component_clause,[status(thm)],[f897])).
% 39.79/5.55 fof(f899,plain,(
% 39.79/5.55 ~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_30),
% 39.79/5.55 inference(component_clause,[status(thm)],[f897])).
% 39.79/5.55 fof(f900,plain,(
% 39.79/5.55 spl0_31 <=> ~pd0_0(X0,X1,sk0_47,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f908,plain,(
% 39.79/5.55 spl0_33 <=> ~pd0_0(X0,X1,sk0_48,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f909,plain,(
% 39.79/5.55 ![X0,X1]: (~pd0_0(X0,X1,sk0_48,sk0_47)|~spl0_33)),
% 39.79/5.55 inference(component_clause,[status(thm)],[f908])).
% 39.79/5.55 fof(f911,plain,(
% 39.79/5.55 spl0_34 <=> hd(sk0_48)=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f913,plain,(
% 39.79/5.55 ~hd(sk0_48)=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_34),
% 39.79/5.55 inference(component_clause,[status(thm)],[f911])).
% 39.79/5.55 fof(f914,plain,(
% 39.79/5.55 ![X0,X1]: (~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|~pd0_0(X0,X1,sk0_48,sk0_47)|~hd(sk0_48)=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_21|~spl0_0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f716,f896])).
% 39.79/5.55 fof(f915,plain,(
% 39.79/5.55 ~spl0_30|spl0_33|~spl0_34|~spl0_21|~spl0_0),
% 39.79/5.55 inference(split_clause,[status(thm)],[f914,f897,f908,f911,f715,f434])).
% 39.79/5.55 fof(f924,plain,(
% 39.79/5.55 spl0_35 <=> ssList(sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f965,plain,(
% 39.79/5.55 spl0_36 <=> ssItem(sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f967,plain,(
% 39.79/5.55 ~ssItem(sk0_0)|spl0_36),
% 39.79/5.55 inference(component_clause,[status(thm)],[f965])).
% 39.79/5.55 fof(f968,plain,(
% 39.79/5.55 spl0_37 <=> sk0_0=sk0_0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f971,plain,(
% 39.79/5.55 ~ssItem(sk0_0)|sk0_0=sk0_0),
% 39.79/5.55 inference(resolution,[status(thm)],[f478,f479])).
% 39.79/5.55 fof(f972,plain,(
% 39.79/5.55 ~spl0_36|spl0_37),
% 39.79/5.55 inference(split_clause,[status(thm)],[f971,f965,f968])).
% 39.79/5.55 fof(f987,plain,(
% 39.79/5.55 $false|spl0_36),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f967,f103])).
% 39.79/5.55 fof(f988,plain,(
% 39.79/5.55 spl0_36),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f987])).
% 39.79/5.55 fof(f989,plain,(
% 39.79/5.55 spl0_42 <=> ssItem(sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f991,plain,(
% 39.79/5.55 ~ssItem(sk0_1)|spl0_42),
% 39.79/5.55 inference(component_clause,[status(thm)],[f989])).
% 39.79/5.55 fof(f992,plain,(
% 39.79/5.55 spl0_43 <=> sk0_1=sk0_1),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f995,plain,(
% 39.79/5.55 ~ssItem(sk0_1)|sk0_1=sk0_1),
% 39.79/5.55 inference(resolution,[status(thm)],[f480,f481])).
% 39.79/5.55 fof(f996,plain,(
% 39.79/5.55 ~spl0_42|spl0_43),
% 39.79/5.55 inference(split_clause,[status(thm)],[f995,f989,f992])).
% 39.79/5.55 fof(f1008,plain,(
% 39.79/5.55 $false|spl0_42),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f991,f104])).
% 39.79/5.55 fof(f1009,plain,(
% 39.79/5.55 spl0_42),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f1008])).
% 39.79/5.55 fof(f1017,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|~lt(hd(X0),hd(X0)))),
% 39.79/5.55 inference(resolution,[status(thm)],[f237,f401])).
% 39.79/5.55 fof(f1018,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|geq(hd(X0),hd(X0)))),
% 39.79/5.55 inference(resolution,[status(thm)],[f237,f399])).
% 39.79/5.55 fof(f1053,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4,X5,X6]: (~ssList(X0)|~ssList(X1)|~pd0_0(X2,X3,X4,X5)|~ssList(X4)|~app(app(X0,X1),X5)=X4|~ssItem(X6)|~cons(X6,nil)=app(X0,X1)|~hd(X4)=X6|~neq(nil,X4))),
% 39.79/5.55 inference(resolution,[status(thm)],[f245,f459])).
% 39.79/5.55 fof(f1054,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4,X5]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~pd0_0(X3,X4,app(X0,X1),X5)|~app(cons(X2,nil),X5)=app(X0,X1)|~hd(app(X0,X1))=X2|~neq(nil,app(X0,X1))|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f245,f610])).
% 39.79/5.55 fof(f1059,plain,(
% 39.79/5.55 spl0_47 <=> ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1060,plain,(
% 39.79/5.55 ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_47),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1059])).
% 39.79/5.55 fof(f1061,plain,(
% 39.79/5.55 ~ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|spl0_47),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1059])).
% 39.79/5.55 fof(f1062,plain,(
% 39.79/5.55 ~ssList(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~ssList(sk0_47)|ssList(sk0_48)|~spl0_0),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f896,f245])).
% 39.79/5.55 fof(f1063,plain,(
% 39.79/5.55 ~spl0_47|~spl0_19|spl0_35|~spl0_0),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1062,f1059,f627,f924,f434])).
% 39.79/5.55 fof(f1072,plain,(
% 39.79/5.55 $false|spl0_19),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f629,f419])).
% 39.79/5.55 fof(f1073,plain,(
% 39.79/5.55 spl0_19),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f1072])).
% 39.79/5.55 fof(f1077,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|hd(app(X0,sk0_47))=hd(X0))),
% 39.79/5.55 inference(resolution,[status(thm)],[f391,f419])).
% 39.79/5.55 fof(f1081,plain,(
% 39.79/5.55 spl0_48 <=> ~ssList(X0)|nil=app(X0,nil)|~nil=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1082,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=app(X0,nil)|~nil=X0|~spl0_48)),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1081])).
% 39.79/5.55 fof(f1084,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=app(X0,nil)|~nil=nil|~nil=X0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f387,f223])).
% 39.79/5.55 fof(f1085,plain,(
% 39.79/5.55 spl0_48|~spl0_23),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1084,f1081,f821])).
% 39.79/5.55 fof(f1086,plain,(
% 39.79/5.55 spl0_49 <=> ~ssList(X0)|nil=app(X0,sk0_47)|~nil=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1089,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=app(X0,sk0_47)|~nil=sk0_47|~nil=X0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f387,f419])).
% 39.79/5.55 fof(f1090,plain,(
% 39.79/5.55 spl0_49|~spl0_10),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1089,f1086,f536])).
% 39.79/5.55 fof(f1096,plain,(
% 39.79/5.55 $false|~spl0_17),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f618,f468])).
% 39.79/5.55 fof(f1097,plain,(
% 39.79/5.55 ~spl0_17),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f1096])).
% 39.79/5.55 fof(f1181,plain,(
% 39.79/5.55 ![X0,X1]: (nil=app(app(X0,X1),nil)|~nil=app(X0,X1)|~ssList(X0)|~ssList(X1)|~spl0_48)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1082,f245])).
% 39.79/5.55 fof(f1183,plain,(
% 39.79/5.55 spl0_55 <=> nil=app(nil,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1186,plain,(
% 39.79/5.55 nil=app(nil,nil)|~nil=nil|~spl0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f1082,f223])).
% 39.79/5.55 fof(f1187,plain,(
% 39.79/5.55 spl0_55|~spl0_23|~spl0_48),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1186,f1183,f821,f1081])).
% 39.79/5.55 fof(f1188,plain,(
% 39.79/5.55 spl0_56 <=> nil=app(sk0_47,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1191,plain,(
% 39.79/5.55 nil=app(sk0_47,nil)|~nil=sk0_47|~spl0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f1082,f419])).
% 39.79/5.55 fof(f1192,plain,(
% 39.79/5.55 spl0_56|~spl0_10|~spl0_48),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1191,f1188,f536,f1081])).
% 39.79/5.55 fof(f1196,plain,(
% 39.79/5.55 ~ssList(nil)|~ssItem(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47))|spl0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f1061,f222])).
% 39.79/5.55 fof(f1197,plain,(
% 39.79/5.55 ~spl0_14|~spl0_30|spl0_47),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1196,f600,f897,f1059])).
% 39.79/5.55 fof(f1198,plain,(
% 39.79/5.55 ~pd0_0(sk0_48,sk0_47,sk0_48,sk0_47)|spl0_30),
% 39.79/5.55 inference(resolution,[status(thm)],[f899,f432])).
% 39.79/5.55 fof(f1199,plain,(
% 39.79/5.55 $false|~spl0_0|spl0_30),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f1198,f462])).
% 39.79/5.55 fof(f1200,plain,(
% 39.79/5.55 ~spl0_0|spl0_30),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f1199])).
% 39.79/5.55 fof(f1205,plain,(
% 39.79/5.55 spl0_57 <=> nil=app(app(nil,nil),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1208,plain,(
% 39.79/5.55 nil=app(app(nil,nil),nil)|~ssList(nil)|~ssList(nil)|~spl0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f1181,f472])).
% 39.79/5.55 fof(f1209,plain,(
% 39.79/5.55 spl0_57|~spl0_14|~spl0_48),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1208,f1205,f600,f1081])).
% 39.79/5.55 fof(f1215,plain,(
% 39.79/5.55 spl0_59 <=> nil=app(app(sk0_47,nil),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1218,plain,(
% 39.79/5.55 nil=app(app(sk0_47,nil),nil)|~nil=sk0_47|~ssList(sk0_47)|~ssList(nil)|~spl0_48),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f587,f1181])).
% 39.79/5.55 fof(f1219,plain,(
% 39.79/5.55 spl0_59|~spl0_10|~spl0_19|~spl0_14|~spl0_48),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1218,f1215,f536,f627,f600,f1081])).
% 39.79/5.55 fof(f1220,plain,(
% 39.79/5.55 spl0_60 <=> nil=app(app(nil,sk0_47),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1223,plain,(
% 39.79/5.55 nil=app(app(nil,sk0_47),nil)|~nil=sk0_47|~ssList(nil)|~ssList(sk0_47)|~spl0_48),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f474,f1181])).
% 39.79/5.55 fof(f1224,plain,(
% 39.79/5.55 spl0_60|~spl0_10|~spl0_14|~spl0_19|~spl0_48),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1223,f1220,f536,f600,f627,f1081])).
% 39.79/5.55 fof(f1267,plain,(
% 39.79/5.55 spl0_65 <=> nil=app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1268,plain,(
% 39.79/5.55 nil=app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),nil)|~spl0_65),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1267])).
% 39.79/5.55 fof(f1270,plain,(
% 39.79/5.55 spl0_66 <=> nil=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1273,plain,(
% 39.79/5.55 nil=app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),nil)|~nil=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)|~spl0_47|~spl0_48),
% 39.79/5.55 inference(resolution,[status(thm)],[f1060,f1082])).
% 39.79/5.55 fof(f1274,plain,(
% 39.79/5.55 spl0_65|~spl0_66|~spl0_47|~spl0_48),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1273,f1267,f1270,f1059,f1081])).
% 39.79/5.55 fof(f1282,plain,(
% 39.79/5.55 ![X0]: (~ssList(X0)|nil=X0|hd(app(X0,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)))=hd(X0)|~spl0_47)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1060,f391])).
% 39.79/5.55 fof(f1291,plain,(
% 39.79/5.55 app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),nil)=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)|~spl0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f1060,f389])).
% 39.79/5.55 fof(f1353,plain,(
% 39.79/5.55 spl0_80 <=> hd(app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)))=hd(sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1356,plain,(
% 39.79/5.55 nil=sk0_47|hd(app(sk0_47,cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)))=hd(sk0_47)|~spl0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f1282,f419])).
% 39.79/5.55 fof(f1357,plain,(
% 39.79/5.55 spl0_10|spl0_80|~spl0_47),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1356,f536,f1353,f1059])).
% 39.79/5.55 fof(f1358,plain,(
% 39.79/5.55 nil=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)|~spl0_65|~spl0_47),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f1268,f1291])).
% 39.79/5.55 fof(f1364,plain,(
% 39.79/5.55 app(nil,sk0_47)=sk0_48|~spl0_65|~spl0_47|~spl0_0),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f1358,f896])).
% 39.79/5.55 fof(f1365,plain,(
% 39.79/5.55 sk0_47=sk0_48|~spl0_65|~spl0_47|~spl0_0),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f474,f1364])).
% 39.79/5.55 fof(f1366,plain,(
% 39.79/5.55 $false|spl0_8|~spl0_65|~spl0_47|~spl0_0),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f1365,f526])).
% 39.79/5.55 fof(f1367,plain,(
% 39.79/5.55 spl0_8|~spl0_65|~spl0_47|~spl0_0),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f1366])).
% 39.79/5.55 fof(f1404,plain,(
% 39.79/5.55 spl0_82 <=> ~ssItem(X0)|~pd0_0(X1,X2,app(sk0_47,nil),X3)|~app(cons(X0,nil),X3)=app(sk0_47,nil)|~hd(app(sk0_47,nil))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1407,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(sk0_47)|~ssList(nil)|~ssItem(X0)|~pd0_0(X1,X2,app(sk0_47,nil),X3)|~app(cons(X0,nil),X3)=app(sk0_47,nil)|~hd(app(sk0_47,nil))=X0|~neq(nil,sk0_47)|~spl0_15)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f587,f1054])).
% 39.79/5.55 fof(f1408,plain,(
% 39.79/5.55 ~spl0_19|~spl0_14|spl0_82|~spl0_9|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1407,f627,f600,f1404,f533,f603])).
% 39.79/5.55 fof(f1409,plain,(
% 39.79/5.55 spl0_83 <=> ~ssItem(X0)|~pd0_0(X1,X2,app(nil,sk0_47),X3)|~app(cons(X0,nil),X3)=app(nil,sk0_47)|~hd(app(nil,sk0_47))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1412,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(nil)|~ssList(sk0_47)|~ssItem(X0)|~pd0_0(X1,X2,app(nil,sk0_47),X3)|~app(cons(X0,nil),X3)=app(nil,sk0_47)|~hd(app(nil,sk0_47))=X0|~neq(nil,sk0_47)|~spl0_15)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f474,f1054])).
% 39.79/5.55 fof(f1413,plain,(
% 39.79/5.55 ~spl0_14|~spl0_19|spl0_83|~spl0_9|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1412,f600,f627,f1409,f533,f603])).
% 39.79/5.55 fof(f1453,plain,(
% 39.79/5.55 spl0_86 <=> ~ssItem(X0)|~pd0_0(X1,X2,app(sk0_48,nil),X3)|~app(cons(X0,nil),X3)=app(sk0_48,nil)|~hd(app(sk0_48,nil))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1456,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(sk0_48)|~ssList(nil)|~ssItem(X0)|~pd0_0(X1,X2,app(sk0_48,nil),X3)|~app(cons(X0,nil),X3)=app(sk0_48,nil)|~hd(app(sk0_48,nil))=X0|~neq(nil,sk0_48)|~spl0_15)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f721,f1054])).
% 39.79/5.55 fof(f1457,plain,(
% 39.79/5.55 ~spl0_35|~spl0_14|spl0_86|~spl0_3|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1456,f924,f600,f1453,f505,f603])).
% 39.79/5.55 fof(f1467,plain,(
% 39.79/5.55 spl0_88 <=> ~ssItem(X0)|~pd0_0(X1,X2,app(nil,sk0_48),X3)|~app(cons(X0,nil),X3)=app(nil,sk0_48)|~hd(app(nil,sk0_48))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1470,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(nil)|~ssList(sk0_48)|~ssItem(X0)|~pd0_0(X1,X2,app(nil,sk0_48),X3)|~app(cons(X0,nil),X3)=app(nil,sk0_48)|~hd(app(nil,sk0_48))=X0|~neq(nil,sk0_48)|~spl0_15)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f473,f1054])).
% 39.79/5.55 fof(f1471,plain,(
% 39.79/5.55 ~spl0_14|~spl0_35|spl0_88|~spl0_3|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1470,f600,f924,f1467,f505,f603])).
% 39.79/5.55 fof(f1497,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|hd(cons(X0,sk0_48))=X0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f239,f420])).
% 39.79/5.55 fof(f1501,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|hd(cons(X0,nil))=X0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f239,f223])).
% 39.79/5.55 fof(f1502,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|hd(cons(X0,sk0_47))=X0)),
% 39.79/5.55 inference(resolution,[status(thm)],[f239,f419])).
% 39.79/5.55 fof(f1506,plain,(
% 39.79/5.55 hd(cons(sk0_1,sk0_48))=sk0_1),
% 39.79/5.55 inference(resolution,[status(thm)],[f1497,f104])).
% 39.79/5.55 fof(f1507,plain,(
% 39.79/5.55 hd(cons(sk0_0,sk0_48))=sk0_0),
% 39.79/5.55 inference(resolution,[status(thm)],[f1497,f103])).
% 39.79/5.55 fof(f1508,plain,(
% 39.79/5.55 spl0_92 <=> ssList(cons(sk0_1,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1509,plain,(
% 39.79/5.55 ssList(cons(sk0_1,sk0_48))|~spl0_92),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1508])).
% 39.79/5.55 fof(f1510,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|spl0_92),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1508])).
% 39.79/5.55 fof(f1511,plain,(
% 39.79/5.55 spl0_93 <=> nil=cons(sk0_1,sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1512,plain,(
% 39.79/5.55 nil=cons(sk0_1,sk0_48)|~spl0_93),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1511])).
% 39.79/5.55 fof(f1516,plain,(
% 39.79/5.55 spl0_94 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,sk0_48))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1519,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,sk0_48))=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f808])).
% 39.79/5.55 fof(f1520,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|spl0_94),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1519,f1508,f1511,f1516])).
% 39.79/5.55 fof(f1521,plain,(
% 39.79/5.55 spl0_95 <=> ssList(cons(sk0_0,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1522,plain,(
% 39.79/5.55 ssList(cons(sk0_0,sk0_48))|~spl0_95),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1521])).
% 39.79/5.55 fof(f1523,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|spl0_95),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1521])).
% 39.79/5.55 fof(f1524,plain,(
% 39.79/5.55 spl0_96 <=> nil=cons(sk0_0,sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1525,plain,(
% 39.79/5.55 nil=cons(sk0_0,sk0_48)|~spl0_96),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1524])).
% 39.79/5.55 fof(f1529,plain,(
% 39.79/5.55 spl0_97 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_0,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_0,sk0_48))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1532,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|~pd0_0(X0,X1,X2,X3)|neq(sk0_0,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_0,sk0_48))=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f808])).
% 39.79/5.55 fof(f1533,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|spl0_97),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1532,f1521,f1524,f1529])).
% 39.79/5.55 fof(f1534,plain,(
% 39.79/5.55 ~ssList(nil)|~ssList(nil)|nil=nil),
% 39.79/5.55 inference(resolution,[status(thm)],[f386,f472])).
% 39.79/5.55 fof(f1535,plain,(
% 39.79/5.55 ~spl0_14|spl0_23),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1534,f600,f821])).
% 39.79/5.55 fof(f1718,plain,(
% 39.79/5.55 ~ssList(sk0_48)|~ssItem(sk0_1)|spl0_92),
% 39.79/5.55 inference(resolution,[status(thm)],[f1510,f222])).
% 39.79/5.55 fof(f1719,plain,(
% 39.79/5.55 ~spl0_35|~spl0_42|spl0_92),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1718,f924,f989,f1508])).
% 39.79/5.55 fof(f1729,plain,(
% 39.79/5.55 ~ssList(sk0_48)|~ssItem(sk0_0)|spl0_95),
% 39.79/5.55 inference(resolution,[status(thm)],[f1523,f222])).
% 39.79/5.55 fof(f1730,plain,(
% 39.79/5.55 ~spl0_35|~spl0_36|spl0_95),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1729,f924,f965,f1521])).
% 39.79/5.55 fof(f1744,plain,(
% 39.79/5.55 ~ssList(sk0_48)|~ssItem(sk0_0)|~spl0_96),
% 39.79/5.55 inference(resolution,[status(thm)],[f1525,f235])).
% 39.79/5.55 fof(f1745,plain,(
% 39.79/5.55 ~spl0_35|~spl0_36|~spl0_96),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1744,f924,f965,f1524])).
% 39.79/5.55 fof(f1757,plain,(
% 39.79/5.55 spl0_101 <=> cons(sk0_0,sk0_48)=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1762,plain,(
% 39.79/5.55 spl0_102 <=> ~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_0,sk0_48),X3)|~app(cons(X0,nil),X3)=cons(sk0_0,sk0_48)|~hd(cons(sk0_0,sk0_48))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1781,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|hd(cons(X0,cons(sk0_0,sk0_48)))=X0|~spl0_95)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1522,f239])).
% 39.79/5.55 fof(f1782,plain,(
% 39.79/5.55 spl0_104 <=> neq(cons(sk0_0,sk0_48),sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1785,plain,(
% 39.79/5.55 spl0_105 <=> cons(sk0_0,sk0_48)=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1788,plain,(
% 39.79/5.55 neq(cons(sk0_0,sk0_48),sk0_48)|cons(sk0_0,sk0_48)=sk0_48|~spl0_95),
% 39.79/5.55 inference(resolution,[status(thm)],[f1522,f476])).
% 39.79/5.55 fof(f1789,plain,(
% 39.79/5.55 spl0_104|spl0_105|~spl0_95),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1788,f1782,f1785,f1521])).
% 39.79/5.55 fof(f1805,plain,(
% 39.79/5.55 spl0_108 <=> neq(cons(sk0_0,sk0_48),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1808,plain,(
% 39.79/5.55 neq(cons(sk0_0,sk0_48),nil)|cons(sk0_0,sk0_48)=nil|~spl0_95),
% 39.79/5.55 inference(resolution,[status(thm)],[f1522,f475])).
% 39.79/5.55 fof(f1809,plain,(
% 39.79/5.55 spl0_108|spl0_96|~spl0_95),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1808,f1805,f1524,f1521])).
% 39.79/5.55 fof(f1812,plain,(
% 39.79/5.55 spl0_109 <=> neq(cons(sk0_0,sk0_48),sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1815,plain,(
% 39.79/5.55 neq(cons(sk0_0,sk0_48),sk0_47)|cons(sk0_0,sk0_48)=sk0_47|~spl0_95),
% 39.79/5.55 inference(resolution,[status(thm)],[f1522,f477])).
% 39.79/5.55 fof(f1816,plain,(
% 39.79/5.55 spl0_109|spl0_101|~spl0_95),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1815,f1812,f1757,f1521])).
% 39.79/5.55 fof(f1818,plain,(
% 39.79/5.55 spl0_110 <=> neq(nil,cons(sk0_0,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1821,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_0,sk0_48),X3)|~app(cons(X0,nil),X3)=cons(sk0_0,sk0_48)|~hd(cons(sk0_0,sk0_48))=X0|~neq(nil,cons(sk0_0,sk0_48))|~spl0_95|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1522,f610])).
% 39.79/5.55 fof(f1822,plain,(
% 39.79/5.55 spl0_102|~spl0_110|~spl0_95|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1821,f1762,f1818,f1521,f603])).
% 39.79/5.55 fof(f1825,plain,(
% 39.79/5.55 ~ssList(sk0_48)|~ssItem(sk0_1)|~spl0_93),
% 39.79/5.55 inference(resolution,[status(thm)],[f1512,f235])).
% 39.79/5.55 fof(f1826,plain,(
% 39.79/5.55 ~spl0_35|~spl0_42|~spl0_93),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1825,f924,f989,f1511])).
% 39.79/5.55 fof(f1838,plain,(
% 39.79/5.55 spl0_112 <=> cons(sk0_1,sk0_48)=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1843,plain,(
% 39.79/5.55 spl0_113 <=> ~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_1,sk0_48),X3)|~app(cons(X0,nil),X3)=cons(sk0_1,sk0_48)|~hd(cons(sk0_1,sk0_48))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1856,plain,(
% 39.79/5.55 spl0_115 <=> neq(cons(sk0_1,sk0_48),sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1859,plain,(
% 39.79/5.55 spl0_116 <=> cons(sk0_1,sk0_48)=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1862,plain,(
% 39.79/5.55 neq(cons(sk0_1,sk0_48),sk0_48)|cons(sk0_1,sk0_48)=sk0_48|~spl0_92),
% 39.79/5.55 inference(resolution,[status(thm)],[f1509,f476])).
% 39.79/5.55 fof(f1863,plain,(
% 39.79/5.55 spl0_115|spl0_116|~spl0_92),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1862,f1856,f1859,f1508])).
% 39.79/5.55 fof(f1879,plain,(
% 39.79/5.55 spl0_119 <=> neq(cons(sk0_1,sk0_48),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1882,plain,(
% 39.79/5.55 neq(cons(sk0_1,sk0_48),nil)|cons(sk0_1,sk0_48)=nil|~spl0_92),
% 39.79/5.55 inference(resolution,[status(thm)],[f1509,f475])).
% 39.79/5.55 fof(f1883,plain,(
% 39.79/5.55 spl0_119|spl0_93|~spl0_92),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1882,f1879,f1511,f1508])).
% 39.79/5.55 fof(f1886,plain,(
% 39.79/5.55 spl0_120 <=> neq(cons(sk0_1,sk0_48),sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1889,plain,(
% 39.79/5.55 neq(cons(sk0_1,sk0_48),sk0_47)|cons(sk0_1,sk0_48)=sk0_47|~spl0_92),
% 39.79/5.55 inference(resolution,[status(thm)],[f1509,f477])).
% 39.79/5.55 fof(f1890,plain,(
% 39.79/5.55 spl0_120|spl0_112|~spl0_92),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1889,f1886,f1838,f1508])).
% 39.79/5.55 fof(f1892,plain,(
% 39.79/5.55 spl0_121 <=> neq(nil,cons(sk0_1,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1895,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_1,sk0_48),X3)|~app(cons(X0,nil),X3)=cons(sk0_1,sk0_48)|~hd(cons(sk0_1,sk0_48))=X0|~neq(nil,cons(sk0_1,sk0_48))|~spl0_92|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1509,f610])).
% 39.79/5.55 fof(f1896,plain,(
% 39.79/5.55 spl0_113|~spl0_121|~spl0_92|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1895,f1843,f1892,f1508,f603])).
% 39.79/5.55 fof(f1904,plain,(
% 39.79/5.55 hd(cons(sk0_1,cons(sk0_0,sk0_48)))=sk0_1|~spl0_95),
% 39.79/5.55 inference(resolution,[status(thm)],[f1781,f104])).
% 39.79/5.55 fof(f1906,plain,(
% 39.79/5.55 spl0_122 <=> ssList(cons(sk0_1,cons(sk0_0,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1908,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,cons(sk0_0,sk0_48)))|spl0_122),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1906])).
% 39.79/5.55 fof(f1909,plain,(
% 39.79/5.55 spl0_123 <=> nil=cons(sk0_1,cons(sk0_0,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1914,plain,(
% 39.79/5.55 spl0_124 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,cons(sk0_0,sk0_48)))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1917,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_1,cons(sk0_0,sk0_48)))|nil=cons(sk0_1,cons(sk0_0,sk0_48))|~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,cons(sk0_0,sk0_48)))=sk0_51(X0,X1,X2,X3)|~spl0_95)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1904,f808])).
% 39.79/5.55 fof(f1918,plain,(
% 39.79/5.55 ~spl0_122|spl0_123|spl0_124|~spl0_95),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1917,f1906,f1909,f1914,f1521])).
% 39.79/5.55 fof(f1919,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|~ssItem(sk0_1)|spl0_122),
% 39.79/5.55 inference(resolution,[status(thm)],[f1908,f222])).
% 39.79/5.55 fof(f1920,plain,(
% 39.79/5.55 ~spl0_95|~spl0_42|spl0_122),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1919,f1521,f989,f1906])).
% 39.79/5.55 fof(f1940,plain,(
% 39.79/5.55 hd(cons(sk0_1,sk0_47))=sk0_1),
% 39.79/5.55 inference(resolution,[status(thm)],[f1502,f104])).
% 39.79/5.55 fof(f1941,plain,(
% 39.79/5.55 hd(cons(sk0_0,sk0_47))=sk0_0),
% 39.79/5.55 inference(resolution,[status(thm)],[f1502,f103])).
% 39.79/5.55 fof(f1942,plain,(
% 39.79/5.55 spl0_125 <=> ssList(cons(sk0_1,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1943,plain,(
% 39.79/5.55 ssList(cons(sk0_1,sk0_47))|~spl0_125),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1942])).
% 39.79/5.55 fof(f1945,plain,(
% 39.79/5.55 spl0_126 <=> nil=cons(sk0_1,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1950,plain,(
% 39.79/5.55 spl0_127 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,sk0_47))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1953,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,sk0_47))=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f808])).
% 39.79/5.55 fof(f1954,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|spl0_127),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1953,f1942,f1945,f1950])).
% 39.79/5.55 fof(f1955,plain,(
% 39.79/5.55 spl0_128 <=> ssList(cons(sk0_0,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1956,plain,(
% 39.79/5.55 ssList(cons(sk0_0,sk0_47))|~spl0_128),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1955])).
% 39.79/5.55 fof(f1957,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|spl0_128),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1955])).
% 39.79/5.55 fof(f1958,plain,(
% 39.79/5.55 spl0_129 <=> nil=cons(sk0_0,sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1959,plain,(
% 39.79/5.55 nil=cons(sk0_0,sk0_47)|~spl0_129),
% 39.79/5.55 inference(component_clause,[status(thm)],[f1958])).
% 39.79/5.55 fof(f1963,plain,(
% 39.79/5.55 spl0_130 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_0,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_0,sk0_47))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1966,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|~pd0_0(X0,X1,X2,X3)|neq(sk0_0,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_0,sk0_47))=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f808])).
% 39.79/5.55 fof(f1967,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|spl0_130),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1966,f1955,f1958,f1963])).
% 39.79/5.55 fof(f1968,plain,(
% 39.79/5.55 spl0_131 <=> ~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(sk0_48,nil),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_48|~hd(X2)=X4|~neq(nil,X2)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1971,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(sk0_48)|~ssList(nil)|~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(sk0_48,nil),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_48|~hd(X2)=X4|~neq(nil,X2))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f721,f1053])).
% 39.79/5.55 fof(f1972,plain,(
% 39.79/5.55 ~spl0_35|~spl0_14|spl0_131),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1971,f924,f600,f1968])).
% 39.79/5.55 fof(f1978,plain,(
% 39.79/5.55 spl0_133 <=> ~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(sk0_47,nil),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_47|~hd(X2)=X4|~neq(nil,X2)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1981,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(sk0_47)|~ssList(nil)|~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(sk0_47,nil),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_47|~hd(X2)=X4|~neq(nil,X2))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f587,f1053])).
% 39.79/5.55 fof(f1982,plain,(
% 39.79/5.55 ~spl0_19|~spl0_14|spl0_133),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1981,f627,f600,f1978])).
% 39.79/5.55 fof(f1983,plain,(
% 39.79/5.55 spl0_134 <=> ~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(nil,sk0_48),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_48|~hd(X2)=X4|~neq(nil,X2)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1986,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(nil)|~ssList(sk0_48)|~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(nil,sk0_48),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_48|~hd(X2)=X4|~neq(nil,X2))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f473,f1053])).
% 39.79/5.55 fof(f1987,plain,(
% 39.79/5.55 ~spl0_14|~spl0_35|spl0_134),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1986,f600,f924,f1983])).
% 39.79/5.55 fof(f1988,plain,(
% 39.79/5.55 spl0_135 <=> ~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(nil,sk0_47),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_47|~hd(X2)=X4|~neq(nil,X2)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1991,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(nil)|~ssList(sk0_47)|~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(nil,sk0_47),X3)=X2|~ssItem(X4)|~cons(X4,nil)=sk0_47|~hd(X2)=X4|~neq(nil,X2))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f474,f1053])).
% 39.79/5.55 fof(f1992,plain,(
% 39.79/5.55 ~spl0_14|~spl0_19|spl0_135),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1991,f600,f627,f1988])).
% 39.79/5.55 fof(f1993,plain,(
% 39.79/5.55 spl0_136 <=> ~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(nil,nil),X3)=X2|~ssItem(X4)|~cons(X4,nil)=nil|~hd(X2)=X4|~neq(nil,X2)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f1996,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(nil)|~ssList(nil)|~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(nil,nil),X3)=X2|~ssItem(X4)|~cons(X4,nil)=nil|~hd(X2)=X4|~neq(nil,X2))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f472,f1053])).
% 39.79/5.55 fof(f1997,plain,(
% 39.79/5.55 ~spl0_14|spl0_136),
% 39.79/5.55 inference(split_clause,[status(thm)],[f1996,f600,f1993])).
% 39.79/5.55 fof(f2007,plain,(
% 39.79/5.55 hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_30),
% 39.79/5.55 inference(resolution,[status(thm)],[f1501,f898])).
% 39.79/5.55 fof(f2009,plain,(
% 39.79/5.55 hd(cons(sk0_1,nil))=sk0_1),
% 39.79/5.55 inference(resolution,[status(thm)],[f1501,f104])).
% 39.79/5.55 fof(f2010,plain,(
% 39.79/5.55 hd(cons(sk0_0,nil))=sk0_0),
% 39.79/5.55 inference(resolution,[status(thm)],[f1501,f103])).
% 39.79/5.55 fof(f2012,plain,(
% 39.79/5.55 spl0_137 <=> ssList(cons(sk0_1,nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2013,plain,(
% 39.79/5.55 ssList(cons(sk0_1,nil))|~spl0_137),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2012])).
% 39.79/5.55 fof(f2014,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|spl0_137),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2012])).
% 39.79/5.55 fof(f2015,plain,(
% 39.79/5.55 spl0_138 <=> nil=cons(sk0_1,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2016,plain,(
% 39.79/5.55 nil=cons(sk0_1,nil)|~spl0_138),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2015])).
% 39.79/5.55 fof(f2020,plain,(
% 39.79/5.55 spl0_139 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,nil))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2023,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|~pd0_0(X0,X1,X2,X3)|neq(sk0_1,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_1,nil))=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f808])).
% 39.79/5.55 fof(f2024,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|spl0_139),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2023,f2012,f2015,f2020])).
% 39.79/5.55 fof(f2025,plain,(
% 39.79/5.55 spl0_140 <=> ssList(cons(sk0_0,nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2026,plain,(
% 39.79/5.55 ssList(cons(sk0_0,nil))|~spl0_140),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2025])).
% 39.79/5.55 fof(f2027,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|spl0_140),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2025])).
% 39.79/5.55 fof(f2028,plain,(
% 39.79/5.55 spl0_141 <=> nil=cons(sk0_0,nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2029,plain,(
% 39.79/5.55 nil=cons(sk0_0,nil)|~spl0_141),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2028])).
% 39.79/5.55 fof(f2033,plain,(
% 39.79/5.55 spl0_142 <=> ~pd0_0(X0,X1,X2,X3)|neq(sk0_0,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_0,nil))=sk0_51(X0,X1,X2,X3)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2036,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|~pd0_0(X0,X1,X2,X3)|neq(sk0_0,sk0_51(X0,X1,X2,X3))|hd(cons(sk0_0,nil))=sk0_51(X0,X1,X2,X3))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f808])).
% 39.79/5.55 fof(f2037,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|spl0_142),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2036,f2025,f2028,f2033])).
% 39.79/5.55 fof(f2038,plain,(
% 39.79/5.55 spl0_143 <=> neq(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2041,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|~neq(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f811])).
% 39.79/5.55 fof(f2042,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|~spl0_143),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2041,f2012,f2015,f2038])).
% 39.79/5.55 fof(f2043,plain,(
% 39.79/5.55 spl0_144 <=> neq(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2046,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|~neq(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f811])).
% 39.79/5.55 fof(f2047,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|~spl0_144),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2046,f1942,f1945,f2043])).
% 39.79/5.55 fof(f2048,plain,(
% 39.79/5.55 spl0_145 <=> neq(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2051,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|~neq(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f811])).
% 39.79/5.55 fof(f2052,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|~spl0_145),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2051,f1508,f1511,f2048])).
% 39.79/5.55 fof(f2053,plain,(
% 39.79/5.55 spl0_146 <=> neq(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2056,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|~neq(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f811])).
% 39.79/5.55 fof(f2057,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|~spl0_146),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2056,f2025,f2028,f2053])).
% 39.79/5.55 fof(f2058,plain,(
% 39.79/5.55 spl0_147 <=> neq(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2061,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|~neq(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f811])).
% 39.79/5.55 fof(f2062,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|~spl0_147),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2061,f1955,f1958,f2058])).
% 39.79/5.55 fof(f2063,plain,(
% 39.79/5.55 spl0_148 <=> neq(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2066,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|~neq(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f811])).
% 39.79/5.55 fof(f2067,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|~spl0_148),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2066,f1521,f1524,f2063])).
% 39.79/5.55 fof(f2073,plain,(
% 39.79/5.55 spl0_150 <=> neq(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2076,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|~neq(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f811])).
% 39.79/5.55 fof(f2077,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|~spl0_150),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2076,f2012,f2015,f2073])).
% 39.79/5.55 fof(f2078,plain,(
% 39.79/5.55 spl0_151 <=> neq(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2081,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|~neq(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f811])).
% 39.79/5.55 fof(f2082,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|~spl0_151),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2081,f1942,f1945,f2078])).
% 39.79/5.55 fof(f2083,plain,(
% 39.79/5.55 spl0_152 <=> neq(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2086,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|~neq(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f811])).
% 39.79/5.55 fof(f2087,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|~spl0_152),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2086,f1508,f1511,f2083])).
% 39.79/5.55 fof(f2088,plain,(
% 39.79/5.55 spl0_153 <=> neq(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2091,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|~neq(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f811])).
% 39.79/5.55 fof(f2092,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|~spl0_153),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2091,f2025,f2028,f2088])).
% 39.79/5.55 fof(f2093,plain,(
% 39.79/5.55 spl0_154 <=> neq(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2096,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|~neq(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f811])).
% 39.79/5.55 fof(f2097,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|~spl0_154),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2096,f1955,f1958,f2093])).
% 39.79/5.55 fof(f2098,plain,(
% 39.79/5.55 spl0_155 <=> neq(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2101,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|~neq(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f811])).
% 39.79/5.55 fof(f2102,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|~spl0_155),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2101,f1521,f1524,f2098])).
% 39.79/5.55 fof(f2120,plain,(
% 39.79/5.55 spl0_157 <=> leq(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2123,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|leq(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f809])).
% 39.79/5.55 fof(f2124,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|spl0_157),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2123,f2012,f2015,f2120])).
% 39.79/5.55 fof(f2125,plain,(
% 39.79/5.55 spl0_158 <=> leq(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2128,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|leq(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f809])).
% 39.79/5.55 fof(f2129,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|spl0_158),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2128,f1942,f1945,f2125])).
% 39.79/5.55 fof(f2130,plain,(
% 39.79/5.55 spl0_159 <=> leq(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2133,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|leq(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f809])).
% 39.79/5.55 fof(f2134,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|spl0_159),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2133,f1508,f1511,f2130])).
% 39.79/5.55 fof(f2135,plain,(
% 39.79/5.55 spl0_160 <=> leq(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2138,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|leq(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f809])).
% 39.79/5.55 fof(f2139,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|spl0_160),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2138,f2025,f2028,f2135])).
% 39.79/5.55 fof(f2140,plain,(
% 39.79/5.55 spl0_161 <=> leq(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2143,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|leq(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f809])).
% 39.79/5.55 fof(f2144,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|spl0_161),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2143,f1955,f1958,f2140])).
% 39.79/5.55 fof(f2145,plain,(
% 39.79/5.55 spl0_162 <=> leq(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2148,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|leq(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f809])).
% 39.79/5.55 fof(f2149,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|spl0_162),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2148,f1521,f1524,f2145])).
% 39.79/5.55 fof(f2155,plain,(
% 39.79/5.55 spl0_164 <=> leq(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2158,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|leq(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f809])).
% 39.79/5.55 fof(f2159,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|spl0_164),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2158,f2012,f2015,f2155])).
% 39.79/5.55 fof(f2160,plain,(
% 39.79/5.55 spl0_165 <=> leq(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2163,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|leq(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f809])).
% 39.79/5.55 fof(f2164,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|spl0_165),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2163,f1942,f1945,f2160])).
% 39.79/5.55 fof(f2165,plain,(
% 39.79/5.55 spl0_166 <=> leq(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2168,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|leq(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f809])).
% 39.79/5.55 fof(f2169,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|spl0_166),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2168,f1508,f1511,f2165])).
% 39.79/5.55 fof(f2170,plain,(
% 39.79/5.55 spl0_167 <=> leq(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2173,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|leq(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f809])).
% 39.79/5.55 fof(f2174,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|spl0_167),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2173,f2025,f2028,f2170])).
% 39.79/5.55 fof(f2175,plain,(
% 39.79/5.55 spl0_168 <=> leq(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2178,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|leq(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f809])).
% 39.79/5.55 fof(f2179,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|spl0_168),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2178,f1955,f1958,f2175])).
% 39.79/5.55 fof(f2180,plain,(
% 39.79/5.55 spl0_169 <=> leq(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2183,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|leq(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f809])).
% 39.79/5.55 fof(f2184,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|spl0_169),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2183,f1521,f1524,f2180])).
% 39.79/5.55 fof(f2194,plain,(
% 39.79/5.55 spl0_171 <=> lt(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2197,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|~lt(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f1017])).
% 39.79/5.55 fof(f2198,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|~spl0_171),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2197,f2012,f2015,f2194])).
% 39.79/5.55 fof(f2199,plain,(
% 39.79/5.55 spl0_172 <=> lt(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2202,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|~lt(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f1017])).
% 39.79/5.55 fof(f2203,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|~spl0_172),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2202,f1942,f1945,f2199])).
% 39.79/5.55 fof(f2204,plain,(
% 39.79/5.55 spl0_173 <=> lt(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2207,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|~lt(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f1017])).
% 39.79/5.55 fof(f2208,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|~spl0_173),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2207,f1508,f1511,f2204])).
% 39.79/5.55 fof(f2209,plain,(
% 39.79/5.55 spl0_174 <=> lt(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2212,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|~lt(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f1017])).
% 39.79/5.55 fof(f2213,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|~spl0_174),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2212,f2025,f2028,f2209])).
% 39.79/5.55 fof(f2214,plain,(
% 39.79/5.55 spl0_175 <=> lt(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2217,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|~lt(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f1017])).
% 39.79/5.55 fof(f2218,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|~spl0_175),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2217,f1955,f1958,f2214])).
% 39.79/5.55 fof(f2219,plain,(
% 39.79/5.55 spl0_176 <=> lt(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2222,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|~lt(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f1017])).
% 39.79/5.55 fof(f2223,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|~spl0_176),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2222,f1521,f1524,f2219])).
% 39.79/5.55 fof(f2229,plain,(
% 39.79/5.55 spl0_178 <=> lt(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2232,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|~lt(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f1017])).
% 39.79/5.55 fof(f2233,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|~spl0_178),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2232,f2012,f2015,f2229])).
% 39.79/5.55 fof(f2234,plain,(
% 39.79/5.55 spl0_179 <=> lt(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2237,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|~lt(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f1017])).
% 39.79/5.55 fof(f2238,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|~spl0_179),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2237,f1942,f1945,f2234])).
% 39.79/5.55 fof(f2239,plain,(
% 39.79/5.55 spl0_180 <=> lt(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2242,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|~lt(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f1017])).
% 39.79/5.55 fof(f2243,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|~spl0_180),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2242,f1508,f1511,f2239])).
% 39.79/5.55 fof(f2244,plain,(
% 39.79/5.55 spl0_181 <=> lt(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2247,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|~lt(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f1017])).
% 39.79/5.55 fof(f2248,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|~spl0_181),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2247,f2025,f2028,f2244])).
% 39.79/5.55 fof(f2249,plain,(
% 39.79/5.55 spl0_182 <=> lt(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2252,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|~lt(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f1017])).
% 39.79/5.55 fof(f2253,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|~spl0_182),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2252,f1955,f1958,f2249])).
% 39.79/5.55 fof(f2254,plain,(
% 39.79/5.55 spl0_183 <=> lt(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2257,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|~lt(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f1017])).
% 39.79/5.55 fof(f2258,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|~spl0_183),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2257,f1521,f1524,f2254])).
% 39.79/5.55 fof(f2276,plain,(
% 39.79/5.55 spl0_185 <=> geq(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2279,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|geq(sk0_1,hd(cons(sk0_1,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f1018])).
% 39.79/5.55 fof(f2280,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|spl0_185),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2279,f2012,f2015,f2276])).
% 39.79/5.55 fof(f2281,plain,(
% 39.79/5.55 spl0_186 <=> geq(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2284,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|geq(sk0_1,hd(cons(sk0_1,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f1018])).
% 39.79/5.55 fof(f2285,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|spl0_186),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2284,f1942,f1945,f2281])).
% 39.79/5.55 fof(f2286,plain,(
% 39.79/5.55 spl0_187 <=> geq(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2289,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|geq(sk0_1,hd(cons(sk0_1,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f1018])).
% 39.79/5.55 fof(f2290,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|spl0_187),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2289,f1508,f1511,f2286])).
% 39.79/5.55 fof(f2291,plain,(
% 39.79/5.55 spl0_188 <=> geq(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2294,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|geq(sk0_0,hd(cons(sk0_0,nil)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f1018])).
% 39.79/5.55 fof(f2295,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|spl0_188),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2294,f2025,f2028,f2291])).
% 39.79/5.55 fof(f2296,plain,(
% 39.79/5.55 spl0_189 <=> geq(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2299,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|geq(sk0_0,hd(cons(sk0_0,sk0_47)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f1018])).
% 39.79/5.55 fof(f2300,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|spl0_189),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2299,f1955,f1958,f2296])).
% 39.79/5.55 fof(f2301,plain,(
% 39.79/5.55 spl0_190 <=> geq(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2304,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|geq(sk0_0,hd(cons(sk0_0,sk0_48)))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f1018])).
% 39.79/5.55 fof(f2305,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|spl0_190),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2304,f1521,f1524,f2301])).
% 39.79/5.55 fof(f2311,plain,(
% 39.79/5.55 spl0_192 <=> geq(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2314,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|nil=cons(sk0_1,nil)|geq(hd(cons(sk0_1,nil)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2009,f1018])).
% 39.79/5.55 fof(f2315,plain,(
% 39.79/5.55 ~spl0_137|spl0_138|spl0_192),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2314,f2012,f2015,f2311])).
% 39.79/5.55 fof(f2316,plain,(
% 39.79/5.55 spl0_193 <=> geq(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2319,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_47))|nil=cons(sk0_1,sk0_47)|geq(hd(cons(sk0_1,sk0_47)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1940,f1018])).
% 39.79/5.55 fof(f2320,plain,(
% 39.79/5.55 ~spl0_125|spl0_126|spl0_193),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2319,f1942,f1945,f2316])).
% 39.79/5.55 fof(f2321,plain,(
% 39.79/5.55 spl0_194 <=> geq(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2324,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,sk0_48))|nil=cons(sk0_1,sk0_48)|geq(hd(cons(sk0_1,sk0_48)),sk0_1)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1506,f1018])).
% 39.79/5.55 fof(f2325,plain,(
% 39.79/5.55 ~spl0_92|spl0_93|spl0_194),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2324,f1508,f1511,f2321])).
% 39.79/5.55 fof(f2326,plain,(
% 39.79/5.55 spl0_195 <=> geq(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2329,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,nil))|nil=cons(sk0_0,nil)|geq(hd(cons(sk0_0,nil)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2010,f1018])).
% 39.79/5.55 fof(f2330,plain,(
% 39.79/5.55 ~spl0_140|spl0_141|spl0_195),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2329,f2025,f2028,f2326])).
% 39.79/5.55 fof(f2331,plain,(
% 39.79/5.55 spl0_196 <=> geq(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2334,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_47))|nil=cons(sk0_0,sk0_47)|geq(hd(cons(sk0_0,sk0_47)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1941,f1018])).
% 39.79/5.55 fof(f2335,plain,(
% 39.79/5.55 ~spl0_128|spl0_129|spl0_196),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2334,f1955,f1958,f2331])).
% 39.79/5.55 fof(f2336,plain,(
% 39.79/5.55 spl0_197 <=> geq(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2339,plain,(
% 39.79/5.55 ~ssList(cons(sk0_0,sk0_48))|nil=cons(sk0_0,sk0_48)|geq(hd(cons(sk0_0,sk0_48)),sk0_0)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f1507,f1018])).
% 39.79/5.55 fof(f2340,plain,(
% 39.79/5.55 ~spl0_95|spl0_96|spl0_197),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2339,f1521,f1524,f2336])).
% 39.79/5.55 fof(f2402,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|cons(X0,sk0_47)=app(cons(X0,nil),sk0_47))),
% 39.79/5.55 inference(resolution,[status(thm)],[f380,f419])).
% 39.79/5.55 fof(f2770,plain,(
% 39.79/5.55 spl0_201 <=> ~ssItem(X0)|~geq(X0,sk0_1)|geq(X0,sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2773,plain,(
% 39.79/5.55 spl0_202 <=> geq(sk0_1,sk0_1)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2775,plain,(
% 39.79/5.55 ~geq(sk0_1,sk0_1)|spl0_202),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2773])).
% 39.79/5.55 fof(f2776,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|~geq(X0,sk0_1)|~geq(sk0_1,sk0_1)|geq(X0,sk0_1))),
% 39.79/5.55 inference(resolution,[status(thm)],[f397,f104])).
% 39.79/5.55 fof(f2777,plain,(
% 39.79/5.55 spl0_201|~spl0_202),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2776,f2770,f2773])).
% 39.79/5.55 fof(f2779,plain,(
% 39.79/5.55 spl0_203 <=> ~ssItem(X0)|~geq(X0,sk0_0)|geq(X0,sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2782,plain,(
% 39.79/5.55 spl0_204 <=> geq(sk0_0,sk0_0)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2784,plain,(
% 39.79/5.55 ~geq(sk0_0,sk0_0)|spl0_204),
% 39.79/5.55 inference(component_clause,[status(thm)],[f2782])).
% 39.79/5.55 fof(f2785,plain,(
% 39.79/5.55 ![X0]: (~ssItem(X0)|~geq(X0,sk0_0)|~geq(sk0_0,sk0_0)|geq(X0,sk0_0))),
% 39.79/5.55 inference(resolution,[status(thm)],[f397,f103])).
% 39.79/5.55 fof(f2786,plain,(
% 39.79/5.55 spl0_203|~spl0_204),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2785,f2779,f2782])).
% 39.79/5.55 fof(f2803,plain,(
% 39.79/5.55 $false|spl0_204),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f2784,f854])).
% 39.79/5.55 fof(f2804,plain,(
% 39.79/5.55 spl0_204),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f2803])).
% 39.79/5.55 fof(f2805,plain,(
% 39.79/5.55 $false|spl0_202),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f2775,f853])).
% 39.79/5.55 fof(f2806,plain,(
% 39.79/5.55 spl0_202),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f2805])).
% 39.79/5.55 fof(f2874,plain,(
% 39.79/5.55 ~ssList(sk0_47)|~ssItem(sk0_0)|spl0_128),
% 39.79/5.55 inference(resolution,[status(thm)],[f1957,f222])).
% 39.79/5.55 fof(f2875,plain,(
% 39.79/5.55 ~spl0_19|~spl0_36|spl0_128),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2874,f627,f965,f1955])).
% 39.79/5.55 fof(f2926,plain,(
% 39.79/5.55 spl0_209 <=> cons(sk0_1,sk0_47)=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2931,plain,(
% 39.79/5.55 spl0_210 <=> ~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_1,sk0_47),X3)|~app(cons(X0,nil),X3)=cons(sk0_1,sk0_47)|~hd(cons(sk0_1,sk0_47))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f2992,plain,(
% 39.79/5.55 ~ssList(nil)|~ssItem(sk0_1)|spl0_137),
% 39.79/5.55 inference(resolution,[status(thm)],[f2014,f222])).
% 39.79/5.55 fof(f2993,plain,(
% 39.79/5.55 ~spl0_14|~spl0_42|spl0_137),
% 39.79/5.55 inference(split_clause,[status(thm)],[f2992,f600,f989,f2012])).
% 39.79/5.55 fof(f3004,plain,(
% 39.79/5.55 ~ssList(nil)|~ssItem(sk0_0)|spl0_140),
% 39.79/5.55 inference(resolution,[status(thm)],[f2027,f222])).
% 39.79/5.55 fof(f3005,plain,(
% 39.79/5.55 ~spl0_14|~spl0_36|spl0_140),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3004,f600,f965,f2025])).
% 39.79/5.55 fof(f3007,plain,(
% 39.79/5.55 ~ssList(sk0_47)|~ssItem(sk0_0)|~spl0_129),
% 39.79/5.55 inference(resolution,[status(thm)],[f1959,f235])).
% 39.79/5.55 fof(f3008,plain,(
% 39.79/5.55 ~spl0_19|~spl0_36|~spl0_129),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3007,f627,f965,f1958])).
% 39.79/5.55 fof(f3022,plain,(
% 39.79/5.55 spl0_220 <=> cons(sk0_0,sk0_47)=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3027,plain,(
% 39.79/5.55 spl0_221 <=> ~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_0,sk0_47),X3)|~app(cons(X0,nil),X3)=cons(sk0_0,sk0_47)|~hd(cons(sk0_0,sk0_47))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3070,plain,(
% 39.79/5.55 spl0_222 <=> neq(cons(sk0_1,sk0_47),sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3073,plain,(
% 39.79/5.55 spl0_223 <=> cons(sk0_1,sk0_47)=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3076,plain,(
% 39.79/5.55 neq(cons(sk0_1,sk0_47),sk0_48)|cons(sk0_1,sk0_47)=sk0_48|~spl0_125),
% 39.79/5.55 inference(resolution,[status(thm)],[f1943,f476])).
% 39.79/5.55 fof(f3077,plain,(
% 39.79/5.55 spl0_222|spl0_223|~spl0_125),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3076,f3070,f3073,f1942])).
% 39.79/5.55 fof(f3093,plain,(
% 39.79/5.55 spl0_226 <=> neq(cons(sk0_1,sk0_47),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3096,plain,(
% 39.79/5.55 neq(cons(sk0_1,sk0_47),nil)|cons(sk0_1,sk0_47)=nil|~spl0_125),
% 39.79/5.55 inference(resolution,[status(thm)],[f1943,f475])).
% 39.79/5.55 fof(f3097,plain,(
% 39.79/5.55 spl0_226|spl0_126|~spl0_125),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3096,f3093,f1945,f1942])).
% 39.79/5.55 fof(f3100,plain,(
% 39.79/5.55 spl0_227 <=> neq(cons(sk0_1,sk0_47),sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3103,plain,(
% 39.79/5.55 neq(cons(sk0_1,sk0_47),sk0_47)|cons(sk0_1,sk0_47)=sk0_47|~spl0_125),
% 39.79/5.55 inference(resolution,[status(thm)],[f1943,f477])).
% 39.79/5.55 fof(f3104,plain,(
% 39.79/5.55 spl0_227|spl0_209|~spl0_125),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3103,f3100,f2926,f1942])).
% 39.79/5.55 fof(f3106,plain,(
% 39.79/5.55 spl0_228 <=> neq(nil,cons(sk0_1,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3109,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_1,sk0_47),X3)|~app(cons(X0,nil),X3)=cons(sk0_1,sk0_47)|~hd(cons(sk0_1,sk0_47))=X0|~neq(nil,cons(sk0_1,sk0_47))|~spl0_125|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1943,f610])).
% 39.79/5.55 fof(f3110,plain,(
% 39.79/5.55 spl0_210|~spl0_228|~spl0_125|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3109,f2931,f3106,f1942,f603])).
% 39.79/5.55 fof(f3182,plain,(
% 39.79/5.55 ~ssList(nil)|~ssItem(sk0_0)|~nil=nil|~spl0_141),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2029,f235])).
% 39.79/5.55 fof(f3183,plain,(
% 39.79/5.55 ~spl0_14|~spl0_36|~spl0_23|~spl0_141),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3182,f600,f965,f821,f2028])).
% 39.79/5.55 fof(f3191,plain,(
% 39.79/5.55 spl0_243 <=> cons(sk0_0,nil)=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3192,plain,(
% 39.79/5.55 cons(sk0_0,nil)=sk0_47|~spl0_243),
% 39.79/5.55 inference(component_clause,[status(thm)],[f3191])).
% 39.79/5.55 fof(f3196,plain,(
% 39.79/5.55 spl0_244 <=> ~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_0,nil),X3)|~app(cons(X0,nil),X3)=cons(sk0_0,nil)|~hd(cons(sk0_0,nil))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3240,plain,(
% 39.79/5.55 spl0_245 <=> neq(cons(sk0_0,sk0_47),sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3243,plain,(
% 39.79/5.55 spl0_246 <=> cons(sk0_0,sk0_47)=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3246,plain,(
% 39.79/5.55 neq(cons(sk0_0,sk0_47),sk0_48)|cons(sk0_0,sk0_47)=sk0_48|~spl0_128),
% 39.79/5.55 inference(resolution,[status(thm)],[f1956,f476])).
% 39.79/5.55 fof(f3247,plain,(
% 39.79/5.55 spl0_245|spl0_246|~spl0_128),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3246,f3240,f3243,f1955])).
% 39.79/5.55 fof(f3263,plain,(
% 39.79/5.55 spl0_249 <=> neq(cons(sk0_0,sk0_47),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3266,plain,(
% 39.79/5.55 neq(cons(sk0_0,sk0_47),nil)|cons(sk0_0,sk0_47)=nil|~spl0_128),
% 39.79/5.55 inference(resolution,[status(thm)],[f1956,f475])).
% 39.79/5.55 fof(f3267,plain,(
% 39.79/5.55 spl0_249|spl0_129|~spl0_128),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3266,f3263,f1958,f1955])).
% 39.79/5.55 fof(f3270,plain,(
% 39.79/5.55 spl0_250 <=> neq(cons(sk0_0,sk0_47),sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3273,plain,(
% 39.79/5.55 neq(cons(sk0_0,sk0_47),sk0_47)|cons(sk0_0,sk0_47)=sk0_47|~spl0_128),
% 39.79/5.55 inference(resolution,[status(thm)],[f1956,f477])).
% 39.79/5.55 fof(f3274,plain,(
% 39.79/5.55 spl0_250|spl0_220|~spl0_128),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3273,f3270,f3022,f1955])).
% 39.79/5.55 fof(f3276,plain,(
% 39.79/5.55 spl0_251 <=> neq(nil,cons(sk0_0,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3279,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_0,sk0_47),X3)|~app(cons(X0,nil),X3)=cons(sk0_0,sk0_47)|~hd(cons(sk0_0,sk0_47))=X0|~neq(nil,cons(sk0_0,sk0_47))|~spl0_128|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1956,f610])).
% 39.79/5.55 fof(f3280,plain,(
% 39.79/5.55 spl0_221|~spl0_251|~spl0_128|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3279,f3027,f3276,f1955,f603])).
% 39.79/5.55 fof(f3289,plain,(
% 39.79/5.55 spl0_252 <=> neq(cons(sk0_0,nil),sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3292,plain,(
% 39.79/5.55 spl0_253 <=> cons(sk0_0,nil)=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3295,plain,(
% 39.79/5.55 neq(cons(sk0_0,nil),sk0_48)|cons(sk0_0,nil)=sk0_48|~spl0_140),
% 39.79/5.55 inference(resolution,[status(thm)],[f2026,f476])).
% 39.79/5.55 fof(f3296,plain,(
% 39.79/5.55 spl0_252|spl0_253|~spl0_140),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3295,f3289,f3292,f2025])).
% 39.79/5.55 fof(f3312,plain,(
% 39.79/5.55 spl0_256 <=> neq(cons(sk0_0,nil),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3315,plain,(
% 39.79/5.55 neq(cons(sk0_0,nil),nil)|cons(sk0_0,nil)=nil|~spl0_140),
% 39.79/5.55 inference(resolution,[status(thm)],[f2026,f475])).
% 39.79/5.55 fof(f3316,plain,(
% 39.79/5.55 spl0_256|spl0_141|~spl0_140),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3315,f3312,f2028,f2025])).
% 39.79/5.55 fof(f3319,plain,(
% 39.79/5.55 spl0_257 <=> neq(cons(sk0_0,nil),sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3322,plain,(
% 39.79/5.55 neq(cons(sk0_0,nil),sk0_47)|cons(sk0_0,nil)=sk0_47|~spl0_140),
% 39.79/5.55 inference(resolution,[status(thm)],[f2026,f477])).
% 39.79/5.55 fof(f3323,plain,(
% 39.79/5.55 spl0_257|spl0_243|~spl0_140),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3322,f3319,f3191,f2025])).
% 39.79/5.55 fof(f3325,plain,(
% 39.79/5.55 spl0_258 <=> neq(nil,cons(sk0_0,nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3327,plain,(
% 39.79/5.55 ~neq(nil,cons(sk0_0,nil))|spl0_258),
% 39.79/5.55 inference(component_clause,[status(thm)],[f3325])).
% 39.79/5.55 fof(f3328,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_0,nil),X3)|~app(cons(X0,nil),X3)=cons(sk0_0,nil)|~hd(cons(sk0_0,nil))=X0|~neq(nil,cons(sk0_0,nil))|~spl0_140|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f2026,f610])).
% 39.79/5.55 fof(f3329,plain,(
% 39.79/5.55 spl0_244|~spl0_258|~spl0_140|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3328,f3196,f3325,f2025,f603])).
% 39.79/5.55 fof(f3333,plain,(
% 39.79/5.55 ~neq(nil,sk0_47)|~spl0_243|spl0_258),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f3192,f3327])).
% 39.79/5.55 fof(f3334,plain,(
% 39.79/5.55 $false|~spl0_9|~spl0_243|spl0_258),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f3333,f534])).
% 39.79/5.55 fof(f3335,plain,(
% 39.79/5.55 ~spl0_9|~spl0_243|spl0_258),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f3334])).
% 39.79/5.55 fof(f3370,plain,(
% 39.79/5.55 spl0_262 <=> hd(sk0_47)=sk0_1),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3379,plain,(
% 39.79/5.55 ~ssList(nil)|~ssItem(sk0_1)|~nil=nil|~spl0_138),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f2016,f235])).
% 39.79/5.55 fof(f3380,plain,(
% 39.79/5.55 ~spl0_14|~spl0_42|~spl0_23|~spl0_138),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3379,f600,f989,f821,f2015])).
% 39.79/5.55 fof(f3388,plain,(
% 39.79/5.55 spl0_264 <=> cons(sk0_1,nil)=sk0_47),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3389,plain,(
% 39.79/5.55 cons(sk0_1,nil)=sk0_47|~spl0_264),
% 39.79/5.55 inference(component_clause,[status(thm)],[f3388])).
% 39.79/5.55 fof(f3393,plain,(
% 39.79/5.55 spl0_265 <=> ~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_1,nil),X3)|~app(cons(X0,nil),X3)=cons(sk0_1,nil)|~hd(cons(sk0_1,nil))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3436,plain,(
% 39.79/5.55 spl0_266 <=> neq(cons(sk0_1,nil),sk0_48)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3439,plain,(
% 39.79/5.55 spl0_267 <=> cons(sk0_1,nil)=sk0_48),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3442,plain,(
% 39.79/5.55 neq(cons(sk0_1,nil),sk0_48)|cons(sk0_1,nil)=sk0_48|~spl0_137),
% 39.79/5.55 inference(resolution,[status(thm)],[f2013,f476])).
% 39.79/5.55 fof(f3443,plain,(
% 39.79/5.55 spl0_266|spl0_267|~spl0_137),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3442,f3436,f3439,f2012])).
% 39.79/5.55 fof(f3459,plain,(
% 39.79/5.55 spl0_270 <=> neq(cons(sk0_1,nil),nil)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3462,plain,(
% 39.79/5.55 neq(cons(sk0_1,nil),nil)|cons(sk0_1,nil)=nil|~spl0_137),
% 39.79/5.55 inference(resolution,[status(thm)],[f2013,f475])).
% 39.79/5.55 fof(f3463,plain,(
% 39.79/5.55 spl0_270|spl0_138|~spl0_137),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3462,f3459,f2015,f2012])).
% 39.79/5.55 fof(f3466,plain,(
% 39.79/5.55 spl0_271 <=> neq(cons(sk0_1,nil),sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3469,plain,(
% 39.79/5.55 neq(cons(sk0_1,nil),sk0_47)|cons(sk0_1,nil)=sk0_47|~spl0_137),
% 39.79/5.55 inference(resolution,[status(thm)],[f2013,f477])).
% 39.79/5.55 fof(f3470,plain,(
% 39.79/5.55 spl0_271|spl0_264|~spl0_137),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3469,f3466,f3388,f2012])).
% 39.79/5.55 fof(f3472,plain,(
% 39.79/5.55 spl0_272 <=> neq(nil,cons(sk0_1,nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3474,plain,(
% 39.79/5.55 ~neq(nil,cons(sk0_1,nil))|spl0_272),
% 39.79/5.55 inference(component_clause,[status(thm)],[f3472])).
% 39.79/5.55 fof(f3475,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssItem(X0)|~pd0_0(X1,X2,cons(sk0_1,nil),X3)|~app(cons(X0,nil),X3)=cons(sk0_1,nil)|~hd(cons(sk0_1,nil))=X0|~neq(nil,cons(sk0_1,nil))|~spl0_137|~spl0_15)),
% 39.79/5.55 inference(resolution,[status(thm)],[f2013,f610])).
% 39.79/5.55 fof(f3476,plain,(
% 39.79/5.55 spl0_265|~spl0_272|~spl0_137|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3475,f3393,f3472,f2012,f603])).
% 39.79/5.55 fof(f3480,plain,(
% 39.79/5.55 ~neq(nil,sk0_47)|~spl0_264|spl0_272),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f3389,f3474])).
% 39.79/5.55 fof(f3481,plain,(
% 39.79/5.55 $false|~spl0_9|~spl0_264|spl0_272),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f3480,f534])).
% 39.79/5.55 fof(f3482,plain,(
% 39.79/5.55 ~spl0_9|~spl0_264|spl0_272),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f3481])).
% 39.79/5.55 fof(f3572,plain,(
% 39.79/5.55 spl0_274 <=> hd(app(cons(sk0_1,nil),sk0_47))=hd(cons(sk0_1,nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3575,plain,(
% 39.79/5.55 nil=cons(sk0_1,nil)|hd(app(cons(sk0_1,nil),sk0_47))=hd(cons(sk0_1,nil))|~spl0_137),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f2013])).
% 39.79/5.55 fof(f3576,plain,(
% 39.79/5.55 spl0_138|spl0_274|~spl0_137),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3575,f2015,f3572,f2012])).
% 39.79/5.55 fof(f3577,plain,(
% 39.79/5.55 spl0_275 <=> hd(app(cons(sk0_1,sk0_47),sk0_47))=hd(cons(sk0_1,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3580,plain,(
% 39.79/5.55 nil=cons(sk0_1,sk0_47)|hd(app(cons(sk0_1,sk0_47),sk0_47))=hd(cons(sk0_1,sk0_47))|~spl0_125),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f1943])).
% 39.79/5.55 fof(f3581,plain,(
% 39.79/5.55 spl0_126|spl0_275|~spl0_125),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3580,f1945,f3577,f1942])).
% 39.79/5.55 fof(f3582,plain,(
% 39.79/5.55 spl0_276 <=> hd(app(cons(sk0_1,sk0_48),sk0_47))=hd(cons(sk0_1,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3585,plain,(
% 39.79/5.55 nil=cons(sk0_1,sk0_48)|hd(app(cons(sk0_1,sk0_48),sk0_47))=hd(cons(sk0_1,sk0_48))|~spl0_92),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f1509])).
% 39.79/5.55 fof(f3586,plain,(
% 39.79/5.55 spl0_93|spl0_276|~spl0_92),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3585,f1511,f3582,f1508])).
% 39.79/5.55 fof(f3587,plain,(
% 39.79/5.55 spl0_277 <=> hd(app(cons(sk0_0,nil),sk0_47))=hd(cons(sk0_0,nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3590,plain,(
% 39.79/5.55 nil=cons(sk0_0,nil)|hd(app(cons(sk0_0,nil),sk0_47))=hd(cons(sk0_0,nil))|~spl0_140),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f2026])).
% 39.79/5.55 fof(f3591,plain,(
% 39.79/5.55 spl0_141|spl0_277|~spl0_140),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3590,f2028,f3587,f2025])).
% 39.79/5.55 fof(f3592,plain,(
% 39.79/5.55 spl0_278 <=> hd(app(cons(sk0_0,sk0_47),sk0_47))=hd(cons(sk0_0,sk0_47))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3595,plain,(
% 39.79/5.55 nil=cons(sk0_0,sk0_47)|hd(app(cons(sk0_0,sk0_47),sk0_47))=hd(cons(sk0_0,sk0_47))|~spl0_128),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f1956])).
% 39.79/5.55 fof(f3596,plain,(
% 39.79/5.55 spl0_129|spl0_278|~spl0_128),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3595,f1958,f3592,f1955])).
% 39.79/5.55 fof(f3597,plain,(
% 39.79/5.55 spl0_279 <=> hd(app(cons(sk0_0,sk0_48),sk0_47))=hd(cons(sk0_0,sk0_48))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3600,plain,(
% 39.79/5.55 nil=cons(sk0_0,sk0_48)|hd(app(cons(sk0_0,sk0_48),sk0_47))=hd(cons(sk0_0,sk0_48))|~spl0_95),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f1522])).
% 39.79/5.55 fof(f3601,plain,(
% 39.79/5.55 spl0_96|spl0_279|~spl0_95),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3600,f1524,f3597,f1521])).
% 39.79/5.55 fof(f3602,plain,(
% 39.79/5.55 spl0_280 <=> hd(app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_47))=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3603,plain,(
% 39.79/5.55 hd(app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_47))=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_280),
% 39.79/5.55 inference(component_clause,[status(thm)],[f3602])).
% 39.79/5.55 fof(f3604,plain,(
% 39.79/5.55 ~hd(app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_47))=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|spl0_280),
% 39.79/5.55 inference(component_clause,[status(thm)],[f3602])).
% 39.79/5.55 fof(f3605,plain,(
% 39.79/5.55 nil=cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil)|hd(app(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil),sk0_47))=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_47),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f1060])).
% 39.79/5.55 fof(f3606,plain,(
% 39.79/5.55 spl0_66|spl0_280|~spl0_47),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3605,f1270,f3602,f1059])).
% 39.79/5.55 fof(f3614,plain,(
% 39.79/5.55 spl0_282 <=> hd(app(sk0_47,sk0_47))=hd(sk0_47)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f3617,plain,(
% 39.79/5.55 nil=sk0_47|hd(app(sk0_47,sk0_47))=hd(sk0_47)),
% 39.79/5.55 inference(resolution,[status(thm)],[f1077,f419])).
% 39.79/5.55 fof(f3618,plain,(
% 39.79/5.55 spl0_10|spl0_282),
% 39.79/5.55 inference(split_clause,[status(thm)],[f3617,f536,f3614])).
% 39.79/5.55 fof(f3625,plain,(
% 39.79/5.55 hd(sk0_48)=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_0|~spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f896,f3603])).
% 39.79/5.55 fof(f3626,plain,(
% 39.79/5.55 hd(sk0_48)=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_0|~spl0_280|~spl0_30),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f3625,f2007])).
% 39.79/5.55 fof(f3627,plain,(
% 39.79/5.55 $false|spl0_34|~spl0_0|~spl0_280|~spl0_30),
% 39.79/5.55 inference(forward_subsumption_resolution,[status(thm)],[f3626,f913])).
% 39.79/5.55 fof(f3628,plain,(
% 39.79/5.55 spl0_34|~spl0_0|~spl0_280|~spl0_30),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f3627])).
% 39.79/5.55 fof(f3629,plain,(
% 39.79/5.55 $false|~spl0_33|~spl0_0),
% 39.79/5.55 inference(backward_subsumption_resolution,[status(thm)],[f462,f909])).
% 39.79/5.55 fof(f3630,plain,(
% 39.79/5.55 ~spl0_33|~spl0_0),
% 39.79/5.55 inference(contradiction_clause,[status(thm)],[f3629])).
% 39.79/5.55 fof(f3660,plain,(
% 39.79/5.55 nil=cons(sk0_51(sk0_47,sk0_47,sk0_48,sk0_47),nil)|~spl0_0|~spl0_65|~spl0_47),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f1358])).
% 39.79/5.55 fof(f3661,plain,(
% 39.79/5.55 nil=cons(sk0_51(sk0_47,sk0_47,sk0_47,sk0_47),nil)|~spl0_0|~spl0_65|~spl0_47),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3660])).
% 39.79/5.55 fof(f3695,plain,(
% 39.79/5.55 ssItem(sk0_51(sk0_47,sk0_47,sk0_48,sk0_47))|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f898])).
% 39.79/5.55 fof(f3696,plain,(
% 39.79/5.55 ssItem(sk0_51(sk0_47,sk0_47,sk0_47,sk0_47))|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3695])).
% 39.79/5.55 fof(f3909,plain,(
% 39.79/5.55 hd(cons(sk0_51(sk0_47,sk0_47,sk0_48,sk0_47),nil))=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f2007])).
% 39.79/5.55 fof(f3910,plain,(
% 39.79/5.55 hd(cons(sk0_51(sk0_47,sk0_47,sk0_47,sk0_47),nil))=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3909])).
% 39.79/5.55 fof(f3911,plain,(
% 39.79/5.55 hd(nil)=sk0_51(sk0_48,sk0_47,sk0_48,sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f3661,f3910])).
% 39.79/5.55 fof(f3912,plain,(
% 39.79/5.55 hd(nil)=sk0_51(sk0_47,sk0_47,sk0_48,sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3911])).
% 39.79/5.55 fof(f3913,plain,(
% 39.79/5.55 hd(nil)=sk0_51(sk0_47,sk0_47,sk0_47,sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3912])).
% 39.79/5.55 fof(f3914,plain,(
% 39.79/5.55 ~hd(app(cons(sk0_51(sk0_47,sk0_47,sk0_48,sk0_47),nil),sk0_47))=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_65|~spl0_47|~spl0_0|spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3604])).
% 39.79/5.55 fof(f3915,plain,(
% 39.79/5.55 ~hd(app(cons(sk0_51(sk0_47,sk0_47,sk0_47,sk0_47),nil),sk0_47))=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_65|~spl0_47|~spl0_0|spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3914])).
% 39.79/5.55 fof(f3916,plain,(
% 39.79/5.55 ~hd(sk0_47)=hd(cons(sk0_51(sk0_48,sk0_47,sk0_48,sk0_47),nil))|~spl0_8|~spl0_65|~spl0_47|~spl0_0|spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f580,f3915])).
% 39.79/5.55 fof(f3917,plain,(
% 39.79/5.55 ~hd(sk0_47)=hd(cons(sk0_51(sk0_47,sk0_47,sk0_48,sk0_47),nil))|~spl0_8|~spl0_65|~spl0_47|~spl0_0|spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3916])).
% 39.79/5.55 fof(f3918,plain,(
% 39.79/5.55 ~hd(sk0_47)=hd(cons(sk0_51(sk0_47,sk0_47,sk0_47,sk0_47),nil))|~spl0_8|~spl0_65|~spl0_47|~spl0_0|spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f1365,f3917])).
% 39.79/5.55 fof(f3919,plain,(
% 39.79/5.55 ~hd(sk0_47)=hd(nil)|~spl0_8|~spl0_65|~spl0_47|~spl0_0|spl0_280),
% 39.79/5.55 inference(forward_demodulation,[status(thm)],[f3661,f3918])).
% 39.79/5.55 fof(f4116,plain,(
% 39.79/5.55 ssItem(hd(nil))|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f3913,f3696])).
% 39.79/5.55 fof(f4128,plain,(
% 39.79/5.55 nil=cons(hd(nil),nil)|~spl0_30|~spl0_0|~spl0_65|~spl0_47),
% 39.79/5.55 inference(backward_demodulation,[status(thm)],[f3913,f3661])).
% 39.79/5.55 fof(f4139,plain,(
% 39.79/5.55 cons(sk0_1,sk0_47)=app(cons(sk0_1,nil),sk0_47)),
% 39.79/5.55 inference(resolution,[status(thm)],[f2402,f104])).
% 39.79/5.55 fof(f4143,plain,(
% 39.79/5.55 ![X0,X1]: (~ssItem(sk0_1)|~pd0_0(X0,X1,sk0_47,sk0_47)|~cons(sk0_1,sk0_47)=sk0_47|~hd(sk0_47)=sk0_1|~spl0_18)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f4139,f623])).
% 39.79/5.55 fof(f4144,plain,(
% 39.79/5.55 ~spl0_42|spl0_31|~spl0_209|~spl0_262|~spl0_18),
% 39.79/5.55 inference(split_clause,[status(thm)],[f4143,f989,f900,f2926,f3370,f622])).
% 39.79/5.55 fof(f4145,plain,(
% 39.79/5.55 spl0_283 <=> ~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(cons(sk0_1,nil),sk0_47),X3)=X2|~ssItem(X4)|~cons(X4,nil)=cons(sk0_1,sk0_47)|~hd(X2)=X4|~neq(nil,X2)),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f4148,plain,(
% 39.79/5.55 ![X0,X1,X2,X3,X4]: (~ssList(cons(sk0_1,nil))|~ssList(sk0_47)|~pd0_0(X0,X1,X2,X3)|~ssList(X2)|~app(app(cons(sk0_1,nil),sk0_47),X3)=X2|~ssItem(X4)|~cons(X4,nil)=cons(sk0_1,sk0_47)|~hd(X2)=X4|~neq(nil,X2))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f4139,f1053])).
% 39.79/5.55 fof(f4149,plain,(
% 39.79/5.55 ~spl0_137|~spl0_19|spl0_283),
% 39.79/5.55 inference(split_clause,[status(thm)],[f4148,f2012,f627,f4145])).
% 39.79/5.55 fof(f4152,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|~ssList(sk0_47)|~nil=cons(sk0_1,sk0_47)|nil=cons(sk0_1,nil)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f4139,f386])).
% 39.79/5.55 fof(f4153,plain,(
% 39.79/5.55 ~spl0_137|~spl0_19|~spl0_126|spl0_138),
% 39.79/5.55 inference(split_clause,[status(thm)],[f4152,f2012,f627,f1945,f2015])).
% 39.79/5.55 fof(f4154,plain,(
% 39.79/5.55 spl0_284 <=> ~ssItem(X0)|~pd0_0(X1,X2,app(cons(sk0_1,nil),sk0_47),X3)|~app(cons(X0,nil),X3)=app(cons(sk0_1,nil),sk0_47)|~hd(app(cons(sk0_1,nil),sk0_47))=X0),
% 39.79/5.55 introduced(split_symbol_definition)).
% 39.79/5.55 fof(f4157,plain,(
% 39.79/5.55 ![X0,X1,X2,X3]: (~ssList(cons(sk0_1,nil))|~ssList(sk0_47)|~ssItem(X0)|~pd0_0(X1,X2,app(cons(sk0_1,nil),sk0_47),X3)|~app(cons(X0,nil),X3)=app(cons(sk0_1,nil),sk0_47)|~hd(app(cons(sk0_1,nil),sk0_47))=X0|~neq(nil,cons(sk0_1,sk0_47))|~spl0_15)),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f4139,f1054])).
% 39.79/5.55 fof(f4158,plain,(
% 39.79/5.55 ~spl0_137|~spl0_19|spl0_284|~spl0_228|~spl0_15),
% 39.79/5.55 inference(split_clause,[status(thm)],[f4157,f2012,f627,f4154,f3106,f603])).
% 39.79/5.55 fof(f4164,plain,(
% 39.79/5.55 ~ssList(cons(sk0_1,nil))|~ssList(sk0_47)|ssList(cons(sk0_1,sk0_47))),
% 39.79/5.55 inference(paramodulation,[status(thm)],[f4139,f245])).
% 39.79/5.55 fof(f4165,plain,(
% 39.79/5.55 ~spl0_137|~spl0_19|spl0_125),
% 39.79/5.55 inference(split_clause,[status(thm)],[f4164,f2012,f627,f1942])).
% 39.79/5.55 fof(f4218,plain,(
% 39.79/5.55 spl0_286 <=> ~ssList(X0)|~cons(sk0_1,sk0_47)=app(cons(sk0_1,nil),X0)|sk0_47=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4221,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(cons(sk0_1,nil))|~ssList(sk0_47)|~cons(sk0_1,sk0_47)=app(cons(sk0_1,nil),X0)|sk0_47=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f4139,f378])).
% 39.79/5.56 fof(f4222,plain,(
% 39.79/5.56 spl0_286|~spl0_137|~spl0_19),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4221,f4218,f2012,f627])).
% 39.79/5.56 fof(f4223,plain,(
% 39.79/5.56 spl0_287 <=> ~ssList(X0)|~sk0_47=app(sk0_47,X0)|nil=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4226,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(nil)|~sk0_47=app(sk0_47,X0)|nil=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f587,f378])).
% 39.79/5.56 fof(f4227,plain,(
% 39.79/5.56 spl0_287|~spl0_19|~spl0_14),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4226,f4223,f627,f600])).
% 39.79/5.56 fof(f4228,plain,(
% 39.79/5.56 spl0_288 <=> ~ssList(X0)|~sk0_47=app(nil,X0)|sk0_47=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4231,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_47)|~sk0_47=app(nil,X0)|sk0_47=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f474,f378])).
% 39.79/5.56 fof(f4232,plain,(
% 39.79/5.56 spl0_288|~spl0_14|~spl0_19),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4231,f4228,f600,f627])).
% 39.79/5.56 fof(f4233,plain,(
% 39.79/5.56 spl0_289 <=> ~ssList(X0)|~nil=app(nil,X0)|nil=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4236,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~nil=app(nil,X0)|nil=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f472,f378])).
% 39.79/5.56 fof(f4237,plain,(
% 39.79/5.56 spl0_289|~spl0_14),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4236,f4233,f600])).
% 39.79/5.56 fof(f4254,plain,(
% 39.79/5.56 spl0_292 <=> ~ssList(X0)|~cons(sk0_1,sk0_47)=app(X0,sk0_47)|cons(sk0_1,nil)=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4257,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(cons(sk0_1,nil))|~cons(sk0_1,sk0_47)=app(X0,sk0_47)|cons(sk0_1,nil)=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f4139,f376])).
% 39.79/5.56 fof(f4258,plain,(
% 39.79/5.56 spl0_292|~spl0_19|~spl0_137),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4257,f4254,f627,f2012])).
% 39.79/5.56 fof(f4259,plain,(
% 39.79/5.56 spl0_293 <=> ~ssList(X0)|~sk0_47=app(X0,nil)|sk0_47=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4262,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk0_47)|~sk0_47=app(X0,nil)|sk0_47=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f587,f376])).
% 39.79/5.56 fof(f4263,plain,(
% 39.79/5.56 spl0_293|~spl0_14|~spl0_19),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4262,f4259,f600,f627])).
% 39.79/5.56 fof(f4264,plain,(
% 39.79/5.56 spl0_294 <=> ~ssList(X0)|~sk0_47=app(X0,sk0_47)|nil=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4267,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(sk0_47)|~ssList(nil)|~sk0_47=app(X0,sk0_47)|nil=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f474,f376])).
% 39.79/5.56 fof(f4268,plain,(
% 39.79/5.56 spl0_294|~spl0_19|~spl0_14),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4267,f4264,f627,f600])).
% 39.79/5.56 fof(f4269,plain,(
% 39.79/5.56 spl0_295 <=> ~ssList(X0)|~nil=app(X0,nil)|nil=X0),
% 39.79/5.56 introduced(split_symbol_definition)).
% 39.79/5.56 fof(f4272,plain,(
% 39.79/5.56 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(nil)|~nil=app(X0,nil)|nil=X0)),
% 39.79/5.56 inference(paramodulation,[status(thm)],[f472,f376])).
% 39.79/5.56 fof(f4273,plain,(
% 39.79/5.56 spl0_295|~spl0_14),
% 39.79/5.56 inference(split_clause,[status(thm)],[f4272,f4269,f600])).
% 39.79/5.56 fof(f4777,plain,(
% 39.79/5.56 cons(hd(nil),sk0_47)=app(cons(hd(nil),nil),sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(resolution,[status(thm)],[f4116,f2402])).
% 39.79/5.56 fof(f4778,plain,(
% 39.79/5.56 cons(hd(nil),sk0_47)=app(nil,sk0_47)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(forward_demodulation,[status(thm)],[f4128,f4777])).
% 39.79/5.56 fof(f4779,plain,(
% 39.79/5.56 cons(hd(nil),sk0_47)=sk0_47|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(forward_demodulation,[status(thm)],[f474,f4778])).
% 39.79/5.56 fof(f4806,plain,(
% 39.79/5.56 hd(cons(hd(nil),sk0_47))=hd(nil)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(resolution,[status(thm)],[f4116,f1502])).
% 39.79/5.56 fof(f4807,plain,(
% 39.79/5.56 hd(sk0_47)=hd(nil)|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(forward_demodulation,[status(thm)],[f4779,f4806])).
% 39.79/5.56 fof(f4808,plain,(
% 39.79/5.56 $false|~spl0_8|spl0_280|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(forward_subsumption_resolution,[status(thm)],[f4807,f3919])).
% 39.79/5.56 fof(f4809,plain,(
% 39.79/5.56 ~spl0_8|spl0_280|~spl0_65|~spl0_47|~spl0_0|~spl0_30),
% 39.79/5.56 inference(contradiction_clause,[status(thm)],[f4808])).
% 39.79/5.56 fof(f4810,plain,(
% 39.79/5.56 $false),
% 39.79/5.56 inference(sat_refutation,[status(thm)],[f440,f444,f499,f501,f512,f520,f528,f530,f540,f545,f553,f555,f607,f609,f626,f640,f658,f719,f728,f732,f764,f816,f827,f846,f849,f875,f884,f890,f892,f915,f972,f988,f996,f1009,f1063,f1073,f1085,f1090,f1097,f1187,f1192,f1197,f1200,f1209,f1219,f1224,f1274,f1357,f1367,f1408,f1413,f1457,f1471,f1520,f1533,f1535,f1719,f1730,f1745,f1789,f1809,f1816,f1822,f1826,f1863,f1883,f1890,f1896,f1918,f1920,f1954,f1967,f1972,f1982,f1987,f1992,f1997,f2024,f2037,f2042,f2047,f2052,f2057,f2062,f2067,f2077,f2082,f2087,f2092,f2097,f2102,f2124,f2129,f2134,f2139,f2144,f2149,f2159,f2164,f2169,f2174,f2179,f2184,f2198,f2203,f2208,f2213,f2218,f2223,f2233,f2238,f2243,f2248,f2253,f2258,f2280,f2285,f2290,f2295,f2300,f2305,f2315,f2320,f2325,f2330,f2335,f2340,f2777,f2786,f2804,f2806,f2875,f2993,f3005,f3008,f3077,f3097,f3104,f3110,f3183,f3247,f3267,f3274,f3280,f3296,f3316,f3323,f3329,f3335,f3380,f3443,f3463,f3470,f3476,f3482,f3576,f3581,f3586,f3591,f3596,f3601,f3606,f3618,f3628,f3630,f4144,f4149,f4153,f4158,f4165,f4222,f4227,f4232,f4237,f4258,f4263,f4268,f4273,f4809])).
% 39.79/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 40.66/5.61 % Elapsed time: 5.294935 seconds
% 40.66/5.61 % CPU time: 40.949648 seconds
% 40.66/5.61 % Memory used: 225.095 MB
%------------------------------------------------------------------------------